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)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 35, Number 1
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The finiteness of $I$ when $R[X]/I$ is $R$-flat. II
William Heinzer and Jack Ohm
Proc. Amer. Math. Soc. 35 (1972), 1-8
DOI: https://doi.org/10.1090/S0002-9939-1972-0306177-3
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An application of the algebra of differentials of infinite rank
William C. Brown
Proc. Amer. Math. Soc. 35 (1972), 9-15
DOI: https://doi.org/10.1090/S0002-9939-1972-0300999-0
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Quotient rings of endomorphism rings of modules with zero singular submodule
John Hutchinson and Julius Zelmanowitz
Proc. Amer. Math. Soc. 35 (1972), 16-20
DOI: https://doi.org/10.1090/S0002-9939-1972-0297805-X
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The probability of connectedness of an unlabelled graph can be less for more edges
E. M. Wright
Proc. Amer. Math. Soc. 35 (1972), 21-25
DOI: https://doi.org/10.1090/S0002-9939-1972-0295954-3
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On an induction theorem for relative Grothendieck groups
William H. Gustafson
Proc. Amer. Math. Soc. 35 (1972), 26-30
DOI: https://doi.org/10.1090/S0002-9939-1972-0297891-7
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Isomorphism types of infinite symmetric graphs
C. M. Bang
Proc. Amer. Math. Soc. 35 (1972), 31-33
DOI: https://doi.org/10.1090/S0002-9939-1972-0295944-0
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An improved upper bound for global dimension of semigroup algebras
William R. Nico
Proc. Amer. Math. Soc. 35 (1972), 34-36
DOI: https://doi.org/10.1090/S0002-9939-1972-0296182-8
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The epimorphic images of a Dedekind domain
T. Cheatham and E. Enochs
Proc. Amer. Math. Soc. 35 (1972), 37-42
DOI: https://doi.org/10.1090/S0002-9939-1972-0302640-X
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Quasi-cotripleable categories
Robert C. Davis
Proc. Amer. Math. Soc. 35 (1972), 43-48
DOI: https://doi.org/10.1090/S0002-9939-1972-0316531-1
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A counterexample to an analogue of Artin’s conjecture
P. J. Weinberger
Proc. Amer. Math. Soc. 35 (1972), 49-52
DOI: https://doi.org/10.1090/S0002-9939-1972-0299582-5
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Operators associated with a pair of nonnegative matrices
Gerald E. Suchan
Proc. Amer. Math. Soc. 35 (1972), 53-54
DOI: https://doi.org/10.1090/S0002-9939-1972-0296092-6
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Ideals generated by three elements
Peter Kohn
Proc. Amer. Math. Soc. 35 (1972), 55-58
DOI: https://doi.org/10.1090/S0002-9939-1972-0296064-1
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Zeros of $\zeta ^{’} (s)$ in the critical strip
Robert Spira
Proc. Amer. Math. Soc. 35 (1972), 59-60
DOI: https://doi.org/10.1090/S0002-9939-1972-0296035-5
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A finitely presented metabelian group with a free abelian derived group of infinite rank
Gilbert Baumslag
Proc. Amer. Math. Soc. 35 (1972), 61-62
DOI: https://doi.org/10.1090/S0002-9939-1972-0299662-4
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Two observations on the congruence extension property
G. Grätzer and H. Lakser
Proc. Amer. Math. Soc. 35 (1972), 63-64
DOI: https://doi.org/10.1090/S0002-9939-1972-0297677-3
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Tensor products of quaternion algebras
A. A. Albert
Proc. Amer. Math. Soc. 35 (1972), 65-66
DOI: https://doi.org/10.1090/S0002-9939-1972-0297803-6
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Extremal problems for certain classes of analytic functions
Louis Brickman
Proc. Amer. Math. Soc. 35 (1972), 67-73
DOI: https://doi.org/10.1090/S0002-9939-1972-0308386-6
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The Fourier transform of an unbounded spectral distribution
Brian Kritt
Proc. Amer. Math. Soc. 35 (1972), 74-80
DOI: https://doi.org/10.1090/S0002-9939-1972-0296731-X
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Noncoincidence of the strict and strong operator topologies
Joel H. Shapiro
Proc. Amer. Math. Soc. 35 (1972), 81-87
DOI: https://doi.org/10.1090/S0002-9939-1972-0306878-7
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On the range of a coercive maximal monotone operator in a nonreflexive Banach space
Jean-Pierre Gossez
Proc. Amer. Math. Soc. 35 (1972), 88-92
DOI: https://doi.org/10.1090/S0002-9939-1972-0298492-7
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Integral as a certain type of a positive definite function
Parfeny P. Saworotnow
Proc. Amer. Math. Soc. 35 (1972), 93-95
DOI: https://doi.org/10.1090/S0002-9939-1972-0298430-7
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A generalization of two inequalities involving means
Scott Lawrence and Daniel Segalman
Proc. Amer. Math. Soc. 35 (1972), 96-100
DOI: https://doi.org/10.1090/S0002-9939-1972-0304586-X
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The numerical range of a Toeplitz operator
E. M. Klein
Proc. Amer. Math. Soc. 35 (1972), 101-103
DOI: https://doi.org/10.1090/S0002-9939-1972-0296725-4
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Nonfactorization in subsets of the measure algebra
J. T. Burnham
Proc. Amer. Math. Soc. 35 (1972), 104-106
DOI: https://doi.org/10.1090/S0002-9939-1972-0298342-9
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Perturbed asymptotically stable sets
Roger C. McCann
Proc. Amer. Math. Soc. 35 (1972), 107-111
DOI: https://doi.org/10.1090/S0002-9939-1972-0296447-X
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Total stability in nondifferentiable systems
Roger C. McCann
Proc. Amer. Math. Soc. 35 (1972), 112-116
DOI: https://doi.org/10.1090/S0002-9939-1972-0301720-2
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Second order almost linear functional differential equations—oscillation
Hugo Teufel
Proc. Amer. Math. Soc. 35 (1972), 117-119
DOI: https://doi.org/10.1090/S0002-9939-1972-0303050-1
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The existence of oscillatory solutions for the equation $d^{2}y/dt^{2}+q(t)y^{r}=0, 0<r<1$
Kuo Liang Chiou
Proc. Amer. Math. Soc. 35 (1972), 120-122
DOI: https://doi.org/10.1090/S0002-9939-1972-0301292-2
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On the Laplace transform of a temperate distribution supported by a cone
Bent E. Petersen
Proc. Amer. Math. Soc. 35 (1972), 123-128
DOI: https://doi.org/10.1090/S0002-9939-1972-0298414-9
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Existence of solutions of abstract measure differential equations
R. R. Sharma
Proc. Amer. Math. Soc. 35 (1972), 129-136
DOI: https://doi.org/10.1090/S0002-9939-1972-0304811-5
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On the length of gaps in the essential spectrum of a generalised Dirac operator
W. D. Evans
Proc. Amer. Math. Soc. 35 (1972), 137-146
DOI: https://doi.org/10.1090/S0002-9939-1972-0306599-0
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A random Trotter product formula
Thomas G. Kurtz
Proc. Amer. Math. Soc. 35 (1972), 147-154
DOI: https://doi.org/10.1090/S0002-9939-1972-0303347-5
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Boundary zero sets of $A^\infty$ functions satisfying growth conditions
B. A. Taylor and D. L. Williams
Proc. Amer. Math. Soc. 35 (1972), 155-160
DOI: https://doi.org/10.1090/S0002-9939-1972-0310253-9
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Sparse subsets of orthonormal systems
J. J. Price
Proc. Amer. Math. Soc. 35 (1972), 161-164
DOI: https://doi.org/10.1090/S0002-9939-1972-0301439-8
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A nonlinear complementarity problem in mathematical programming in Banach space
M. S. Bazaraa, J. J. Goode and M. Z. Nashed
Proc. Amer. Math. Soc. 35 (1972), 165-170
DOI: https://doi.org/10.1090/S0002-9939-1972-0300163-5
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A fixed point theorem for asymptotically nonexpansive mappings
K. Goebel and W. A. Kirk
Proc. Amer. Math. Soc. 35 (1972), 171-174
DOI: https://doi.org/10.1090/S0002-9939-1972-0298500-3
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Nonexistence of asymptotic observables
James S. Howland
Proc. Amer. Math. Soc. 35 (1972), 175-176
DOI: https://doi.org/10.1090/S0002-9939-1972-0300133-7
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On a general ratio ergodic theorem with weighted averages
Ryōtarō Satō
Proc. Amer. Math. Soc. 35 (1972), 177-178
DOI: https://doi.org/10.1090/S0002-9939-1972-0303317-7
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The Teichmüller spaces are distinct
David B. Patterson
Proc. Amer. Math. Soc. 35 (1972), 179-182
DOI: https://doi.org/10.1090/S0002-9939-1972-0299774-5
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Existence of a seminormal basis in $C[0, 1]$
Sherwood Samn
Proc. Amer. Math. Soc. 35 (1972), 183-186
DOI: https://doi.org/10.1090/S0002-9939-1972-0298404-6
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Eventual disconjugacy of selfadjoint fourth order linear differential equations
G. B. Gustafson
Proc. Amer. Math. Soc. 35 (1972), 187-192
DOI: https://doi.org/10.1090/S0002-9939-1972-0298126-1
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Applications of Laplace transforms and their inverses
Charles Fox
Proc. Amer. Math. Soc. 35 (1972), 193-200
DOI: https://doi.org/10.1090/S0002-9939-1972-0300017-4
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The analytic properties of $G_{2n}$ spaces
Donald O. Koehler
Proc. Amer. Math. Soc. 35 (1972), 201-206
DOI: https://doi.org/10.1090/S0002-9939-1972-0301486-6
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The radius of close-to-convexity of functions of bounded boundary rotation
H. B. Coonce and M. R. Ziegler
Proc. Amer. Math. Soc. 35 (1972), 207-210
DOI: https://doi.org/10.1090/S0002-9939-1972-0296274-3
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Functions with real part greater than $\alpha$
Carl P. McCarty
Proc. Amer. Math. Soc. 35 (1972), 211-216
DOI: https://doi.org/10.1090/S0002-9939-1972-0298014-0
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On the location of zeros of second-order differential equations
Vadim Komkov
Proc. Amer. Math. Soc. 35 (1972), 217-222
DOI: https://doi.org/10.1090/S0002-9939-1972-0298128-5
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Continuum embedded eigenvalues in a spatially cutoff $P(\phi )_{2}$ field theory
Barry Simon
Proc. Amer. Math. Soc. 35 (1972), 223-226
DOI: https://doi.org/10.1090/S0002-9939-1972-0297265-9
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Error bounds for Galerkin’s method for monotone operator equations
Martin H. Schultz
Proc. Amer. Math. Soc. 35 (1972), 227-229
DOI: https://doi.org/10.1090/S0002-9939-1972-0297123-X
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Closed convex hypersurfaces with second fundamental form of constant curvature
Rolf Schneider
Proc. Amer. Math. Soc. 35 (1972), 230-233
DOI: https://doi.org/10.1090/S0002-9939-1972-0307133-1
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On an integral formula for closed hypersurfaces of the sphere
Chorng-shi Houh
Proc. Amer. Math. Soc. 35 (1972), 234-237
DOI: https://doi.org/10.1090/S0002-9939-1972-0296867-3
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On convex subsets of a polytope
W. R. Hare and C. R. Smith
Proc. Amer. Math. Soc. 35 (1972), 238-239
DOI: https://doi.org/10.1090/S0002-9939-1972-0301633-6
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On closed curves in Minkowski spaces
H. S. Witsenhausen
Proc. Amer. Math. Soc. 35 (1972), 240-241
DOI: https://doi.org/10.1090/S0002-9939-1972-0296880-6
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Ordinal sum-sets
Martin M. Zuckerman
Proc. Amer. Math. Soc. 35 (1972), 242-248
DOI: https://doi.org/10.1090/S0002-9939-1972-0314626-X
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Weak partition relations
Andreas Blass
Proc. Amer. Math. Soc. 35 (1972), 249-253
DOI: https://doi.org/10.1090/S0002-9939-1972-0297576-7
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Contractible Hilbert cube manifolds
T. A. Chapman
Proc. Amer. Math. Soc. 35 (1972), 254-258
DOI: https://doi.org/10.1090/S0002-9939-1972-0300313-0
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Map bordism of maps
R. E. Stong
Proc. Amer. Math. Soc. 35 (1972), 259-262
DOI: https://doi.org/10.1090/S0002-9939-1972-0307223-3
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The Whitney technique for Poincaré complex embeddings
J. P. E. Hodgson
Proc. Amer. Math. Soc. 35 (1972), 263-268
DOI: https://doi.org/10.1090/S0002-9939-1972-0303543-7
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Metrization of symmetric spaces and regular maps
Harold W. Martin
Proc. Amer. Math. Soc. 35 (1972), 269-274
DOI: https://doi.org/10.1090/S0002-9939-1972-0303511-5
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Compact spaces and products of finite spaces
Douglas Harris
Proc. Amer. Math. Soc. 35 (1972), 275-280
DOI: https://doi.org/10.1090/S0002-9939-1972-0298622-7
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Another locally connected Hausdorff continuum not connected by ordered continua
J. L. Cornette and B. Lehman
Proc. Amer. Math. Soc. 35 (1972), 281-284
DOI: https://doi.org/10.1090/S0002-9939-1972-0307200-2
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The topological complementation theorem à la Zorn
Paul S. Schnare
Proc. Amer. Math. Soc. 35 (1972), 285-286
DOI: https://doi.org/10.1090/S0002-9939-1972-0296884-3
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Simply-connected branched coverings of $S^{3}$
C. McA. Gordon and W. Heil
Proc. Amer. Math. Soc. 35 (1972), 287-288
DOI: https://doi.org/10.1090/S0002-9939-1972-0296930-7
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A countable connected Urysohn space containing a dispersion point
V. Kannan
Proc. Amer. Math. Soc. 35 (1972), 289-290
DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3
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Euclidean neighborhoods in compact semigroups
John D. McCharen
Proc. Amer. Math. Soc. 35 (1972), 291-295
DOI: https://doi.org/10.1090/S0002-9939-1972-0301131-X
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On a theorem of Rudin
Donald R. Chalice
Proc. Amer. Math. Soc. 35 (1972), 296-297
DOI: https://doi.org/10.1090/S0002-9939-1972-0298425-3
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On semibounded differential operators
Harry Hochstadt
Proc. Amer. Math. Soc. 35 (1972), 298-300
DOI: https://doi.org/10.1090/S0002-9939-1972-0308858-4
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A factorable weight with zero Szegö infimum
Berrien Moore
Proc. Amer. Math. Soc. 35 (1972), 301-302
DOI: https://doi.org/10.1090/S0002-9939-1972-0322573-2
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A note on some characterizations of Sidon sets
Ron C. Blei
Proc. Amer. Math. Soc. 35 (1972), 303-304
DOI: https://doi.org/10.1090/S0002-9939-1972-0303219-6
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A note on the compact elements of $C^{\ast }$-algebras
Kari Ylinen
Proc. Amer. Math. Soc. 35 (1972), 305-306
DOI: https://doi.org/10.1090/S0002-9939-1972-0296716-3
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Nonnegative matrices with nonnegative inverses
Ralph DeMarr
Proc. Amer. Math. Soc. 35 (1972), 307-308
DOI: https://doi.org/10.1090/S0002-9939-1972-0296089-6
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