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 34, Number 1
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Determination of quadratic extensions of linearly compact fields by norm groups
Hoyt D. Warner
Proc. Amer. Math. Soc. 34 (1972), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1972-0294308-3
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Eigenvalues of matrices with prescribed entries
David London and Henryk Minc
Proc. Amer. Math. Soc. 34 (1972), 8-14
DOI: https://doi.org/10.1090/S0002-9939-1972-0352125-X
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A characterization of torsionfree modules over rings of quotients
John A. Beachy
Proc. Amer. Math. Soc. 34 (1972), 15-19
DOI: https://doi.org/10.1090/S0002-9939-1972-0296098-7
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Coherence of polynomial rings over semisimple algebraic algebras
Andrew B. Carson
Proc. Amer. Math. Soc. 34 (1972), 20-24
DOI: https://doi.org/10.1090/S0002-9939-1972-0291216-9
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An Eisenstein criterion for noncommutative polynomials
J. Kovacic
Proc. Amer. Math. Soc. 34 (1972), 25-29
DOI: https://doi.org/10.1090/S0002-9939-1972-0292803-4
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Normality and terminality in the elementary subgroups of Steinberg groups over rings
James F. Hurley
Proc. Amer. Math. Soc. 34 (1972), 30-34
DOI: https://doi.org/10.1090/S0002-9939-1972-0299692-2
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On the conjugating representation of a finite group
K. L. Fields
Proc. Amer. Math. Soc. 34 (1972), 35-37
DOI: https://doi.org/10.1090/S0002-9939-1972-0297889-9
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Involutorial division rings with arbitrary centers
Abraham A. Klein
Proc. Amer. Math. Soc. 34 (1972), 38-42
DOI: https://doi.org/10.1090/S0002-9939-1972-0304425-7
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On the relative group cohomology ring
G. R. Chapman
Proc. Amer. Math. Soc. 34 (1972), 43-48
DOI: https://doi.org/10.1090/S0002-9939-1972-0302743-X
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Derivation modules of free joins and $m$-adic completions of algebras
I. Y. Chung
Proc. Amer. Math. Soc. 34 (1972), 49-56
DOI: https://doi.org/10.1090/S0002-9939-1972-0296061-6
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Meet-irreducible elements in implicative lattices
Dorothy P. Smith
Proc. Amer. Math. Soc. 34 (1972), 57-62
DOI: https://doi.org/10.1090/S0002-9939-1972-0291035-3
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Nil algebras satisfying an identity of degree three
Raymond Coughlin
Proc. Amer. Math. Soc. 34 (1972), 63-66
DOI: https://doi.org/10.1090/S0002-9939-1972-0292902-7
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Nonconstant endomorphisms of lattices
J. Sichler
Proc. Amer. Math. Soc. 34 (1972), 67-70
DOI: https://doi.org/10.1090/S0002-9939-1972-0291032-8
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Complementing sets of $n$-tuples of integers
Melvyn B. Nathanson
Proc. Amer. Math. Soc. 34 (1972), 71-72
DOI: https://doi.org/10.1090/S0002-9939-1972-0294286-7
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On the Noetherian-like rings of E. G. Evans
William Heinzer and Jack Ohm
Proc. Amer. Math. Soc. 34 (1972), 73-74
DOI: https://doi.org/10.1090/S0002-9939-1972-0294316-2
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Nil subrings of endomorphism rings of modules
Joe W. Fisher
Proc. Amer. Math. Soc. 34 (1972), 75-78
DOI: https://doi.org/10.1090/S0002-9939-1972-0292878-2
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The number of square-full divisors of an integer
D. Suryanarayana and R. Sitaramachandra Rao
Proc. Amer. Math. Soc. 34 (1972), 79-80
DOI: https://doi.org/10.1090/S0002-9939-1972-0291104-8
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Nonuniqueness of coefficient rings in a polynomial ring
M. Hochster
Proc. Amer. Math. Soc. 34 (1972), 81-82
DOI: https://doi.org/10.1090/S0002-9939-1972-0294325-3
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A $4$-color theorem for toroidal graphs
Hudson V. Kronk and Arthur T. White
Proc. Amer. Math. Soc. 34 (1972), 83-86
DOI: https://doi.org/10.1090/S0002-9939-1972-0291019-5
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On closed additive semigroups in $E^{n}$
Christoph Bandelow
Proc. Amer. Math. Soc. 34 (1972), 87-89
DOI: https://doi.org/10.1090/S0002-9939-1972-0292993-3
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On the localization of rectangular partial sums for multiple Fourier series
Fon Che Liu
Proc. Amer. Math. Soc. 34 (1972), 90-96
DOI: https://doi.org/10.1090/S0002-9939-1972-0294993-6
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On set correspondences into uniformly convex Banach spaces
David Schmeidler
Proc. Amer. Math. Soc. 34 (1972), 97-101
DOI: https://doi.org/10.1090/S0002-9939-1972-0293058-7
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Nonasymptotically abelian factors of type $\textrm {III}$
Wai Mee Ching and Paul Willig
Proc. Amer. Math. Soc. 34 (1972), 102-104
DOI: https://doi.org/10.1090/S0002-9939-1972-0291820-8
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Comparison theorems for nonselfadjoint differential equations based on integral inequalities
Kurt Kreith
Proc. Amer. Math. Soc. 34 (1972), 105-109
DOI: https://doi.org/10.1090/S0002-9939-1972-0304770-5
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On finite invariant measures for sets of Markov operators
S. Horowitz
Proc. Amer. Math. Soc. 34 (1972), 110-114
DOI: https://doi.org/10.1090/S0002-9939-1972-0296258-5
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On semicontinuous linear lattices
Hidegoro Nakano
Proc. Amer. Math. Soc. 34 (1972), 115-117
DOI: https://doi.org/10.1090/S0002-9939-1972-0293370-1
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On nonoscillatory solutions of a nonlinear differential equation
R. Grimmer
Proc. Amer. Math. Soc. 34 (1972), 118-120
DOI: https://doi.org/10.1090/S0002-9939-1972-0294778-0
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Solutions of some periodic Stieltjes integral equations
G. W. Marrah and T. G. Proctor
Proc. Amer. Math. Soc. 34 (1972), 121-127
DOI: https://doi.org/10.1090/S0002-9939-1972-0291740-9
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Arithmetric structure and lacunary Fourier series
George Benke
Proc. Amer. Math. Soc. 34 (1972), 128-132
DOI: https://doi.org/10.1090/S0002-9939-1972-0301456-8
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A counterexample in nonlinear boundary value problems
J. W. Heidel
Proc. Amer. Math. Soc. 34 (1972), 133-137
DOI: https://doi.org/10.1090/S0002-9939-1972-0293160-X
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Embedding nuclear spaces in products of an arbitrary Banach space
Stephen A. Saxon
Proc. Amer. Math. Soc. 34 (1972), 138-140
DOI: https://doi.org/10.1090/S0002-9939-1972-0318823-9
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An implicit function theorem for nondifferentiable mappings
Shui Nee Chow and A. Lasota
Proc. Amer. Math. Soc. 34 (1972), 141-146
DOI: https://doi.org/10.1090/S0002-9939-1972-0291527-7
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A norm condition for disconjugacy of complex differential systems
Shui Nee Chow and Pui-kei Wong
Proc. Amer. Math. Soc. 34 (1972), 147-151
DOI: https://doi.org/10.1090/S0002-9939-1972-0294753-6
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Maximal operators and capacity
David R. Adams
Proc. Amer. Math. Soc. 34 (1972), 152-156
DOI: https://doi.org/10.1090/S0002-9939-1972-0350314-1
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Subnormality and quasinormality of Toeplitz operators
Takashi Itô and Tin Kin Wong
Proc. Amer. Math. Soc. 34 (1972), 157-164
DOI: https://doi.org/10.1090/S0002-9939-1972-0303334-7
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The two-parameter Sturm-Liouville problem for ordinary differential equations. II
B. D. Sleeman
Proc. Amer. Math. Soc. 34 (1972), 165-170
DOI: https://doi.org/10.1090/S0002-9939-1972-0291544-7
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Reflexivity of $L(E, F)$
William H. Ruckle
Proc. Amer. Math. Soc. 34 (1972), 171-174
DOI: https://doi.org/10.1090/S0002-9939-1972-0291777-X
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A nonnormal outer function in $H^{p}$
Leon Brown and Lowell Hansen
Proc. Amer. Math. Soc. 34 (1972), 175-176
DOI: https://doi.org/10.1090/S0002-9939-1972-0291470-3
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Linear operators for which $T^{\ast } T$ and $TT^{\ast }$ commute
Stephen L. Campbell
Proc. Amer. Math. Soc. 34 (1972), 177-180
DOI: https://doi.org/10.1090/S0002-9939-1972-0295124-9
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Interpolation of $l^{q}$ sequences by $H^{p}$ functions
B. A. Taylor and D. L. Williams
Proc. Amer. Math. Soc. 34 (1972), 181-186
DOI: https://doi.org/10.1090/S0002-9939-1972-0294652-X
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Orthogonality and nonlinear functionals on Banach spaces
K. Sundaresan
Proc. Amer. Math. Soc. 34 (1972), 187-190
DOI: https://doi.org/10.1090/S0002-9939-1972-0291835-X
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On Toeplitz operators which are contractions
Robert Goor
Proc. Amer. Math. Soc. 34 (1972), 191-192
DOI: https://doi.org/10.1090/S0002-9939-1972-0293443-3
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Fixed points by mean value iterations
Gordon G. Johnson
Proc. Amer. Math. Soc. 34 (1972), 193-194
DOI: https://doi.org/10.1090/S0002-9939-1972-0291918-4
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Criteria for discrete spectrum of singular selfadjoint differential operators
L. W. Rollins
Proc. Amer. Math. Soc. 34 (1972), 195-200
DOI: https://doi.org/10.1090/S0002-9939-1972-0291883-X
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A factorization theorem for compact operators
Daniel J. Randtke
Proc. Amer. Math. Soc. 34 (1972), 201-202
DOI: https://doi.org/10.1090/S0002-9939-1972-0295135-3
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Numerical range for certain classes of operators
Richard Bouldin
Proc. Amer. Math. Soc. 34 (1972), 203-206
DOI: https://doi.org/10.1090/S0002-9939-1972-0293424-X
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On operators on separable Banach spaces with arbitrary prescribed point spectrum
Gerhard K. Kalisch
Proc. Amer. Math. Soc. 34 (1972), 207-208
DOI: https://doi.org/10.1090/S0002-9939-1972-0315474-7
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The Brauer group of a compact Hausdorff space and $n$-homogeneous $C^{\ast }$-algebras
Roger Howe
Proc. Amer. Math. Soc. 34 (1972), 209-214
DOI: https://doi.org/10.1090/S0002-9939-1972-0305088-7
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On a conjecture of A. J. Hoffman. II
Joseph Zaks
Proc. Amer. Math. Soc. 34 (1972), 215-221
DOI: https://doi.org/10.1090/S0002-9939-1972-0296810-7
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The dimension of the convex kernel and points of local nonconvexity
Nick M. Stavrakas
Proc. Amer. Math. Soc. 34 (1972), 222-224
DOI: https://doi.org/10.1090/S0002-9939-1972-0298549-0
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Finite unions of convex sets
J. F. Lawrence, W. R. Hare and John W. Kenelly
Proc. Amer. Math. Soc. 34 (1972), 225-228
DOI: https://doi.org/10.1090/S0002-9939-1972-0291952-4
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Reducibility of isometric immersions
John Douglas Moore
Proc. Amer. Math. Soc. 34 (1972), 229-232
DOI: https://doi.org/10.1090/S0002-9939-1972-0293546-3
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The Euclidean symmetric isosceles queasy four-point properties
J. E. Valentine and S. G. Wayment
Proc. Amer. Math. Soc. 34 (1972), 233-238
DOI: https://doi.org/10.1090/S0002-9939-1972-0296823-5
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On an explicit characterization of spherical curves
Yung Chow Wong
Proc. Amer. Math. Soc. 34 (1972), 239-242
DOI: https://doi.org/10.1090/S0002-9939-1972-0295224-3
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Martin’s axiom and saturated models
Erik Ellentuck and R. v. B. Rucker
Proc. Amer. Math. Soc. 34 (1972), 243-249
DOI: https://doi.org/10.1090/S0002-9939-1972-0290960-7
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Necessary and sufficient conditions for homotopy classification by cohomology and homotopy homomorphisms
Martin Sternstein
Proc. Amer. Math. Soc. 34 (1972), 250-256
DOI: https://doi.org/10.1090/S0002-9939-1972-0296942-3
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On Whitehead products
Kuo Tsai Chen
Proc. Amer. Math. Soc. 34 (1972), 257-259
DOI: https://doi.org/10.1090/S0002-9939-1972-0298659-8
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Deficiency in $F$-manifolds
William H. Cutler
Proc. Amer. Math. Soc. 34 (1972), 260-266
DOI: https://doi.org/10.1090/S0002-9939-1972-0298710-5
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Two properties of $R^{N}$ with a compact group topology
Kevin J. Sharpe
Proc. Amer. Math. Soc. 34 (1972), 267-269
DOI: https://doi.org/10.1090/S0002-9939-1972-0293002-2
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Wild cells in $E^{4}$ in which every arc is tame
Robert J. Daverman
Proc. Amer. Math. Soc. 34 (1972), 270-272
DOI: https://doi.org/10.1090/S0002-9939-1972-0295312-1
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Local degree of separability and invariance of domain
L. B. Treybig
Proc. Amer. Math. Soc. 34 (1972), 273-279
DOI: https://doi.org/10.1090/S0002-9939-1972-0295278-4
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On certain fiberings of $M^{2}\times S^{1}$
Wolfgang Heil
Proc. Amer. Math. Soc. 34 (1972), 280-286
DOI: https://doi.org/10.1090/S0002-9939-1972-0303538-3
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A characterization of hereditarily indecomposable continua
C. Wayne Proctor
Proc. Amer. Math. Soc. 34 (1972), 287-289
DOI: https://doi.org/10.1090/S0002-9939-1972-0295301-7
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Locally compact abelian groups and the variety of topological groups generated by the reals
Sidney A. Morris
Proc. Amer. Math. Soc. 34 (1972), 290-292
DOI: https://doi.org/10.1090/S0002-9939-1972-0294560-4
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Fibered knots through $T$-surgery
Wilbur Whitten
Proc. Amer. Math. Soc. 34 (1972), 293-298
DOI: https://doi.org/10.1090/S0002-9939-1972-0292063-4
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Group extensions and discrete subgroups of Lie groups
D. H. Lee
Proc. Amer. Math. Soc. 34 (1972), 299-302
DOI: https://doi.org/10.1090/S0002-9939-1972-0293006-X
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$\pi _{mn-}{}_{}{2}(S^{n}_{m-}{}_{}{2})$ contains an element of order $m$
Albert Shar
Proc. Amer. Math. Soc. 34 (1972), 303-306
DOI: https://doi.org/10.1090/S0002-9939-1972-0292079-8
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Semirings of functions determine finite $T_{o}$ topologies
Melvin C. Thornton
Proc. Amer. Math. Soc. 34 (1972), 307-310
DOI: https://doi.org/10.1090/S0002-9939-1972-0292019-1
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Recognizing manifolds among generalized manifolds
Dennis C. Hass
Proc. Amer. Math. Soc. 34 (1972), 311-313
DOI: https://doi.org/10.1090/S0002-9939-1972-0295360-1
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Separable and reflexive spaces of bounded sequences
Albert Wilansky
Proc. Amer. Math. Soc. 34 (1972), 314-315
DOI: https://doi.org/10.1090/S0002-9939-1972-0293376-2
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Equivalence of algebra norms on $C(G)$
Kjeld B. Laursen
Proc. Amer. Math. Soc. 34 (1972), 316
DOI: https://doi.org/10.1090/S0002-9939-1972-0293399-3
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A quadrilateral-free arrangement of sixteen lines
G. J. Simmons
Proc. Amer. Math. Soc. 34 (1972), 317-318
DOI: https://doi.org/10.1090/S0002-9939-1972-0295191-2
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Properties of solutions of differential equations of the form $y^{”}+a(t)b(y)=0$
Allan Kroopnick
Proc. Amer. Math. Soc. 34 (1972), 319-320
DOI: https://doi.org/10.1090/S0002-9939-1972-0291559-9
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The zeta function of toral endomorphisms
James W. England
Proc. Amer. Math. Soc. 34 (1972), 321-322
DOI: https://doi.org/10.1090/S0002-9939-1972-0294361-7
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Isomorphisms in subspaces of $l_{1}$
Robert H. Lohman
Proc. Amer. Math. Soc. 34 (1972), 323-324
DOI: https://doi.org/10.1090/S0002-9939-1972-0291773-2
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