Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 50, Number 1
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Malcev algebras with $J_{2}$-potent radical
Ernest L. Stitzinger
Proc. Amer. Math. Soc. 50 (1975), 1-9
DOI: https://doi.org/10.1090/S0002-9939-1975-0374224-1
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A nonembedding theorem for algebras
Ernest L. Stitzinger
Proc. Amer. Math. Soc. 50 (1975), 10-13
DOI: https://doi.org/10.1090/S0002-9939-1975-0374201-0
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Defining normal subgroups of unipotent algebraic groups
A. Fauntleroy
Proc. Amer. Math. Soc. 50 (1975), 14-19
DOI: https://doi.org/10.1090/S0002-9939-1975-0409674-8
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Some properties of quadratic words in free groups
Charles C. Edmunds
Proc. Amer. Math. Soc. 50 (1975), 20-22
DOI: https://doi.org/10.1090/S0002-9939-1975-0372048-2
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Injective modules under flat base change
Hans-Bjørn Foxby
Proc. Amer. Math. Soc. 50 (1975), 23-27
DOI: https://doi.org/10.1090/S0002-9939-1975-0409439-7
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Locally finite ring varieties
Awad A. Iskander
Proc. Amer. Math. Soc. 50 (1975), 28-32
DOI: https://doi.org/10.1090/S0002-9939-1975-0369428-8
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Stability: index and order in the Brauer group
Lawrence J. Risman
Proc. Amer. Math. Soc. 50 (1975), 33-39
DOI: https://doi.org/10.1090/S0002-9939-1975-0379442-4
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Existence and conjugacy of Cartan subalgebras of Jordan algebras
Ottmar Loos
Proc. Amer. Math. Soc. 50 (1975), 40-44
DOI: https://doi.org/10.1090/S0002-9939-1975-0369460-4
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On Serre’s problem on projective modules
Moshe Roitman
Proc. Amer. Math. Soc. 50 (1975), 45-52
DOI: https://doi.org/10.1090/S0002-9939-1975-0387266-7
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Homological algebra in topoi
D. H. Van Osdol
Proc. Amer. Math. Soc. 50 (1975), 52-54
DOI: https://doi.org/10.1090/S0002-9939-1975-0369481-1
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Morita contexts of enriched categories
J. Fisher-Palmquist and P. H. Palmquist
Proc. Amer. Math. Soc. 50 (1975), 55-60
DOI: https://doi.org/10.1090/S0002-9939-1975-0419559-9
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The Brauer group of a closed category
J. Fisher-Palmquist
Proc. Amer. Math. Soc. 50 (1975), 61-67
DOI: https://doi.org/10.1090/S0002-9939-1975-0393195-5
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A mean value formula for the spin group
Lawrence Verner
Proc. Amer. Math. Soc. 50 (1975), 68-72
DOI: https://doi.org/10.1090/S0002-9939-1975-0382168-4
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Semilocal domains whose finitely generated modules are direct sums of cyclics
Sylvia Wiegand
Proc. Amer. Math. Soc. 50 (1975), 73-76
DOI: https://doi.org/10.1090/S0002-9939-1975-0369354-4
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The $GE_{2}$ property for discrete subrings of $\textbf {C}$
R. Keith Dennis
Proc. Amer. Math. Soc. 50 (1975), 77-82
DOI: https://doi.org/10.1090/S0002-9939-1975-0376891-5
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Binomial $\lambda$-rings and a topological corollary
Donald Knutson
Proc. Amer. Math. Soc. 50 (1975), 83-84
DOI: https://doi.org/10.1090/S0002-9939-1975-0377881-9
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Powers of matrices with positive definite real part
Charles R. Johnson
Proc. Amer. Math. Soc. 50 (1975), 85-91
DOI: https://doi.org/10.1090/S0002-9939-1975-0369395-7
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Note on rings of finite representation type and decompositions of modules
K. R. Fuller and Idun Reiten
Proc. Amer. Math. Soc. 50 (1975), 92-94
DOI: https://doi.org/10.1090/S0002-9939-1975-0376768-5
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A fixed point criterion for linear reductivity
Peter Norman
Proc. Amer. Math. Soc. 50 (1975), 95-96
DOI: https://doi.org/10.1090/S0002-9939-1975-0369377-5
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On some rings whose modules have maximal submodules
V. P. Camillo
Proc. Amer. Math. Soc. 50 (1975), 97-100
DOI: https://doi.org/10.1090/S0002-9939-1975-0382343-9
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A distribution property for linear recurrence of the second order
R. T. Bumby
Proc. Amer. Math. Soc. 50 (1975), 101-106
DOI: https://doi.org/10.1090/S0002-9939-1975-0369240-X
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Right group congruences on a semigroup
Francis E. Masat
Proc. Amer. Math. Soc. 50 (1975), 107-114
DOI: https://doi.org/10.1090/S0002-9939-1975-0372085-8
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Extensions of abelian groups of finite rank
S. A. Khabbaz and E. H. Toubassi
Proc. Amer. Math. Soc. 50 (1975), 115-120
DOI: https://doi.org/10.1090/S0002-9939-1975-0372073-1
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Complete intersection manifolds with extremal Euler-Poincaré characteristics
Bang-yen Chen and Koichi Ogiue
Proc. Amer. Math. Soc. 50 (1975), 121-126
DOI: https://doi.org/10.1090/S0002-9939-1975-0404275-X
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A note on symmetric functions in Formanek polynomials
Shmuel Rosset
Proc. Amer. Math. Soc. 50 (1975), 127-130
DOI: https://doi.org/10.1090/S0002-9939-1975-0366969-4
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The differential equation $\Delta x=2H(x_{u}\wedge x_{v})$ with vanishing boundary values
Henry C. Wente
Proc. Amer. Math. Soc. 50 (1975), 131-137
DOI: https://doi.org/10.1090/S0002-9939-1975-0374673-1
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An asymptotic Fuglede theorem
Robert Moore
Proc. Amer. Math. Soc. 50 (1975), 138-142
DOI: https://doi.org/10.1090/S0002-9939-1975-0370247-7
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Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions
W. A. Kirk
Proc. Amer. Math. Soc. 50 (1975), 143-149
DOI: https://doi.org/10.1090/S0002-9939-1975-0380527-7
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Some fixed point theorems for condensing multifunctions in locally convex spaces
C. H. Su and V. M. Sehgal
Proc. Amer. Math. Soc. 50 (1975), 150-154
DOI: https://doi.org/10.1090/S0002-9939-1975-0380530-7
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Conformal mappings and the distortion of moduli of rectangles
Bruce Palka
Proc. Amer. Math. Soc. 50 (1975), 155-161
DOI: https://doi.org/10.1090/S0002-9939-1975-0369693-7
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The Carathéodory metric of the annulus
R. R. Simha
Proc. Amer. Math. Soc. 50 (1975), 162-166
DOI: https://doi.org/10.1090/S0002-9939-1975-0379831-8
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On the limit of block Toeplitz determinants
Harold Widom
Proc. Amer. Math. Soc. 50 (1975), 167-173
DOI: https://doi.org/10.1090/S0002-9939-1975-0370254-4
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Rudin varieties in products of two annuli
Sergio E. Zarantonello
Proc. Amer. Math. Soc. 50 (1975), 174-178
DOI: https://doi.org/10.1090/S0002-9939-1975-0379885-9
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Criteria for absolute convergence of Fourier series
Nicolas Artémiadis
Proc. Amer. Math. Soc. 50 (1975), 179-183
DOI: https://doi.org/10.1090/S0002-9939-1975-0377398-1
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On characterizations of inner product spaces
Detlef Laugwitz
Proc. Amer. Math. Soc. 50 (1975), 184-188
DOI: https://doi.org/10.1090/S0002-9939-1975-0374873-0
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A perturbation theorem for partial differential operators
R. Saeks and M. Strauss
Proc. Amer. Math. Soc. 50 (1975), 189-197
DOI: https://doi.org/10.1090/S0002-9939-1975-0634816-9
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Growth of Haar series on the dyadic rationals and uniqueness
William R. Wade
Proc. Amer. Math. Soc. 50 (1975), 198-201
DOI: https://doi.org/10.1090/S0002-9939-1975-0380254-6
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$L_{p, q}$ modulars
Hidegoro Nakano
Proc. Amer. Math. Soc. 50 (1975), 201-204
DOI: https://doi.org/10.1090/S0002-9939-1975-0370143-5
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On a method of solving the initial value problem for the wave equation
Tosihusa Kimura and Yasutaka Sibuya
Proc. Amer. Math. Soc. 50 (1975), 205-215
DOI: https://doi.org/10.1090/S0002-9939-1975-0369879-1
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A bound-two isomorphism between $C(X)$ Banach spaces
H. B. Cohen
Proc. Amer. Math. Soc. 50 (1975), 215-217
DOI: https://doi.org/10.1090/S0002-9939-1975-0380379-5
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The spectrum of some special elements in the free Banach algebra
Abdullah H. Al-Moajil
Proc. Amer. Math. Soc. 50 (1975), 218-222
DOI: https://doi.org/10.1090/S0002-9939-1975-0370191-5
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Arens regularity of certain Banach algebras which are ideals of a Banach algebra
Sheila A. McKilligan
Proc. Amer. Math. Soc. 50 (1975), 223-229
DOI: https://doi.org/10.1090/S0002-9939-1975-0372617-X
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On a nonlinear elliptic boundary value problem
Nguyên Phuong Các
Proc. Amer. Math. Soc. 50 (1975), 230-236
DOI: https://doi.org/10.1090/S0002-9939-1975-0369911-5
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Convergent nets of parabolic and generalized superparabolic functions
Neil A. Eklund
Proc. Amer. Math. Soc. 50 (1975), 237-243
DOI: https://doi.org/10.1090/S0002-9939-1975-0509707-4
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Parabolic Green functions in open sets
Neil A. Eklund
Proc. Amer. Math. Soc. 50 (1975), 244-248
DOI: https://doi.org/10.1090/S0002-9939-1975-0509708-6
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On entire conformal mappings of simply connected regions
Roy W. Pengra
Proc. Amer. Math. Soc. 50 (1975), 249-254
DOI: https://doi.org/10.1090/S0002-9939-1975-0385080-X
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On quasinormal Toeplitz operators
Ichiro Amemiya, Takashi Ito and Tin Kin Wong
Proc. Amer. Math. Soc. 50 (1975), 254-258
DOI: https://doi.org/10.1090/S0002-9939-1975-0410451-2
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Jacobi polynomial sums and univalent Cesàro means
J. Bustoz
Proc. Amer. Math. Soc. 50 (1975), 259-264
DOI: https://doi.org/10.1090/S0002-9939-1975-0369685-8
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An elementary invariant definition of the functions of bidegree $(p,q)$
Michael Freeman
Proc. Amer. Math. Soc. 50 (1975), 265-272
DOI: https://doi.org/10.1090/S0002-9939-1975-0374469-0
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Exponential solutions of $y^{”}+(r-q)y=0$ and the least eigenvalue of Hill’s equation
Thomas T. Read
Proc. Amer. Math. Soc. 50 (1975), 273-280
DOI: https://doi.org/10.1090/S0002-9939-1975-0377184-2
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Multipliers and duality in $A^{\ast }$-algebras
Bohdan J. Tomiuk
Proc. Amer. Math. Soc. 50 (1975), 281-288
DOI: https://doi.org/10.1090/S0002-9939-1975-0372627-2
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Sufficient conditions for nonoscillation of a second order nonlinear differential equation
John R. Graef and Paul W. Spikes
Proc. Amer. Math. Soc. 50 (1975), 289-292
DOI: https://doi.org/10.1090/S0002-9939-1975-0369808-0
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Markuševič bases in some dual spaces
K. John and V. Zizler
Proc. Amer. Math. Soc. 50 (1975), 293-296
DOI: https://doi.org/10.1090/S0002-9939-1975-0370140-X
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Maximal singular integral transforms on local fields
Jia Arng Chao
Proc. Amer. Math. Soc. 50 (1975), 297-302
DOI: https://doi.org/10.1090/S0002-9939-1975-0374827-4
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Note on the joint spectrum of the Wiener-Hopf operators
Jan Janas
Proc. Amer. Math. Soc. 50 (1975), 303-308
DOI: https://doi.org/10.1090/S0002-9939-1975-0374977-2
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An everywhere divergent Fourier-Walsh series of the class $L(\textrm {log}^{+}\textrm {log}^{+}L)^{1-\varepsilon }$
K. H. Moon
Proc. Amer. Math. Soc. 50 (1975), 309-314
DOI: https://doi.org/10.1090/S0002-9939-1975-0377406-8
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A $2$-parameter Chebyshev set which is not a sun
Charles B. Dunham
Proc. Amer. Math. Soc. 50 (1975), 315-316
DOI: https://doi.org/10.1090/S0002-9939-1975-0402369-6
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A representation characterization theorem
William D. L. Appling
Proc. Amer. Math. Soc. 50 (1975), 317-321
DOI: https://doi.org/10.1090/S0002-9939-1975-0369643-3
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Concerning the Hahn-Banach theorem
John A. R. Holbrook
Proc. Amer. Math. Soc. 50 (1975), 322-327
DOI: https://doi.org/10.1090/S0002-9939-1975-0370139-3
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A characterization of quasicircles
Donald K. Blevins and Bruce P. Palka
Proc. Amer. Math. Soc. 50 (1975), 328-331
DOI: https://doi.org/10.1090/S0002-9939-1975-0430235-9
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Confusion in the Garden of Eden
Sven Skyum
Proc. Amer. Math. Soc. 50 (1975), 332-336
DOI: https://doi.org/10.1090/S0002-9939-1975-0386350-1
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Local Euclidean four-point properties which characterize inner-product spaces
J. E. Valentine and S. G. Wayment
Proc. Amer. Math. Soc. 50 (1975), 337-343
DOI: https://doi.org/10.1090/S0002-9939-1975-0370375-6
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Chebyshev constant for centered sets
Susan L. Friedman
Proc. Amer. Math. Soc. 50 (1975), 344-350
DOI: https://doi.org/10.1090/S0002-9939-1975-0370015-6
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Replacing convex sets by polytopes
S. Gallivan and J. Zaks
Proc. Amer. Math. Soc. 50 (1975), 351-357
DOI: https://doi.org/10.1090/S0002-9939-1975-0380627-1
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A rank theorem for infinite dimensional spaces
J. P. Holmes
Proc. Amer. Math. Soc. 50 (1975), 358-364
DOI: https://doi.org/10.1090/S0002-9939-1975-0383452-0
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Zonoids whose polars are zonoids
Rolf Schneider
Proc. Amer. Math. Soc. 50 (1975), 365-368
DOI: https://doi.org/10.1090/S0002-9939-1975-0470857-2
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The model companion of $\textrm {ZF}$
Joram Hirschfeld
Proc. Amer. Math. Soc. 50 (1975), 369-374
DOI: https://doi.org/10.1090/S0002-9939-1975-0376332-8
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When is Jones’ space normal?
William G. Fleissner
Proc. Amer. Math. Soc. 50 (1975), 375-378
DOI: https://doi.org/10.1090/S0002-9939-1975-0394583-3
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On a conjecture of Gross
Hui Hsiung Kuo
Proc. Amer. Math. Soc. 50 (1975), 379-382
DOI: https://doi.org/10.1090/S0002-9939-1975-0370757-2
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Record times
J. Galambos and E. Seneta
Proc. Amer. Math. Soc. 50 (1975), 383-387
DOI: https://doi.org/10.1090/S0002-9939-1975-0368111-2
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Noncontinuity of topological entropy of maps of the Cantor set and of the interval
Louis Block
Proc. Amer. Math. Soc. 50 (1975), 388-393
DOI: https://doi.org/10.1090/S0002-9939-1975-0367953-7
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The number of multiplications on $H$-spaces of type $(3, 7)$
M. Arkowitz, C. P. Murley and A. O. Shar
Proc. Amer. Math. Soc. 50 (1975), 394-398
DOI: https://doi.org/10.1090/S0002-9939-1975-0367992-6
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Homotopy smoothing certain PL-manifolds
James A. Schafer
Proc. Amer. Math. Soc. 50 (1975), 399-402
DOI: https://doi.org/10.1090/S0002-9939-1975-0368020-9
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The intersection multiplicity of $n$-dimensional paracompact spaces
Glenn P. Weller
Proc. Amer. Math. Soc. 50 (1975), 402-404
DOI: https://doi.org/10.1090/S0002-9939-1975-0372822-2
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$\theta$-refinability and local properties
J. M. Atkins and R. F. Gittings
Proc. Amer. Math. Soc. 50 (1975), 405-411
DOI: https://doi.org/10.1090/S0002-9939-1975-0375229-7
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A characterization of real-compactness
Li Pi Su
Proc. Amer. Math. Soc. 50 (1975), 412-418
DOI: https://doi.org/10.1090/S0002-9939-1975-0391017-X
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A new dimension function
J. M. Aarts
Proc. Amer. Math. Soc. 50 (1975), 419-425
DOI: https://doi.org/10.1090/S0002-9939-1975-0370530-5
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Dense subsets of $\beta X$
R. Levy and R. H. McDowell
Proc. Amer. Math. Soc. 50 (1975), 426-430
DOI: https://doi.org/10.1090/S0002-9939-1975-0370506-8
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First category function spaces under the topology of pointwise convergence
R. A. McCoy
Proc. Amer. Math. Soc. 50 (1975), 431-434
DOI: https://doi.org/10.1090/S0002-9939-1975-0370485-3
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Hypocontinuity of multiplication on the Clifford algebra of an infinite-dimensional topological vector space
Robert A. Haberstroh
Proc. Amer. Math. Soc. 50 (1975), 435-442
DOI: https://doi.org/10.1090/S0002-9939-1975-0379547-8
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A characterization of primitive bases
H. H. Wicke and J. M. Worrell
Proc. Amer. Math. Soc. 50 (1975), 443-450
DOI: https://doi.org/10.1090/S0002-9939-1975-0425922-2
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Homogeneous spaces with vanishing Steenrod squaring operations
Victor Schneider
Proc. Amer. Math. Soc. 50 (1975), 451-458
DOI: https://doi.org/10.1090/S0002-9939-1975-0405470-6
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Obstruction formulas and almost-complex manifolds
Robert D. Little
Proc. Amer. Math. Soc. 50 (1975), 459-462
DOI: https://doi.org/10.1090/S0002-9939-1975-0391116-2
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Cantor sets and homotopy connectedness of manifolds
David G. Wright
Proc. Amer. Math. Soc. 50 (1975), 463-470
DOI: https://doi.org/10.1090/S0002-9939-1975-0370594-9
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Homotopy epimorphisms and Lusternik-Schnirelmann category
James A. Draper
Proc. Amer. Math. Soc. 50 (1975), 471-476
DOI: https://doi.org/10.1090/S0002-9939-1975-0367983-5
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Topological spaces that are $\alpha$-favorable for a player with perfect information
H. E. White
Proc. Amer. Math. Soc. 50 (1975), 477-482
DOI: https://doi.org/10.1090/S0002-9939-1975-0367941-0
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Compact completely $0$-simple semitopological semigroups
John F. Berglund
Proc. Amer. Math. Soc. 50 (1975), 483-488
DOI: https://doi.org/10.1090/S0002-9939-1975-0369598-1
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Localizations and evaluation subgroups
George E. Lang
Proc. Amer. Math. Soc. 50 (1975), 489-494
DOI: https://doi.org/10.1090/S0002-9939-1975-0367986-0
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Properties of continuous expansions
Carlos R. Borges
Proc. Amer. Math. Soc. 50 (1975), 495-499
DOI: https://doi.org/10.1090/S0002-9939-1975-0370523-8
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On the number of Hamiltonian circuits in the $n$-cube
E. Dixon and S. Goodman
Proc. Amer. Math. Soc. 50 (1975), 500-504
DOI: https://doi.org/10.1090/S0002-9939-1975-0369157-0
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Erratum: Counting patterns with a given automorphism group
Dennis E. White
Proc. Amer. Math. Soc. 50 (1975), 504
DOI: https://doi.org/10.1090/S0002-9939-75-99973-6
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