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 31, Number 2
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The independence of certain axioms of structures in sets
Japheth Hall
Proc. Amer. Math. Soc. 31 (1972), 317-325
DOI: https://doi.org/10.1090/S0002-9939-1972-0291047-X
Separation of nonassociates by valuations
David E. Brown and Max D. Larsen
Proc. Amer. Math. Soc. 31 (1972), 326-332
DOI: https://doi.org/10.1090/S0002-9939-1972-0289506-9
Solution of certain matrix equations
John Jones
Proc. Amer. Math. Soc. 31 (1972), 333-339
DOI: https://doi.org/10.1090/S0002-9939-1972-0292863-0
Representations of Euler classes
Howard Osborn
Proc. Amer. Math. Soc. 31 (1972), 340-346
DOI: https://doi.org/10.1090/S0002-9939-1972-0300303-8
Divinsky’s radical
Patrick N. Stewart
Proc. Amer. Math. Soc. 31 (1972), 347-353
DOI: https://doi.org/10.1090/S0002-9939-1972-0286823-3
Some applications of differential algebra to ring theory
John Cozzens and Joseph Johnson
Proc. Amer. Math. Soc. 31 (1972), 354-356
DOI: https://doi.org/10.1090/S0002-9939-1972-0289472-6
A note on zero divisors in group-rings
Jacques Lewin
Proc. Amer. Math. Soc. 31 (1972), 357-359
DOI: https://doi.org/10.1090/S0002-9939-1972-0292957-X
On groups of exponent four. II
C. K. Gupta and N. D. Gupta
Proc. Amer. Math. Soc. 31 (1972), 360-362
DOI: https://doi.org/10.1090/S0002-9939-1972-0289631-2
The Lie algebra of the structure group of a power-associative algebra.
D. R. Scribner
Proc. Amer. Math. Soc. 31 (1972), 363-367
DOI: https://doi.org/10.1090/S0002-9939-1972-0288154-4
Algebraic algebras with involution
Susan Montgomery
Proc. Amer. Math. Soc. 31 (1972), 368-372
DOI: https://doi.org/10.1090/S0002-9939-1972-0288149-0
A generalization of Mori’s theorem
Chin-pi Lu
Proc. Amer. Math. Soc. 31 (1972), 373-375
DOI: https://doi.org/10.1090/S0002-9939-1972-0286786-0
On algebras satisfying the identity $(yx)x+x(xy)=2(xy)x$
Robert A. Chaffer
Proc. Amer. Math. Soc. 31 (1972), 376-380
DOI: https://doi.org/10.1090/S0002-9939-1972-0288153-2
The class number of $Q(\surd -p)$, for $P\equiv 1 (\textrm {mod}\ 8)$ a prime
Ezra Brown
Proc. Amer. Math. Soc. 31 (1972), 381-383
DOI: https://doi.org/10.1090/S0002-9939-1972-0289455-6
Dirichlet $L$-functions and primitive characters
Tom M. Apostol
Proc. Amer. Math. Soc. 31 (1972), 384-386
DOI: https://doi.org/10.1090/S0002-9939-1972-0285499-9
The distribution of absolutely irreducible polynomials in several indeterminates
M. L. Fredman
Proc. Amer. Math. Soc. 31 (1972), 387-390
DOI: https://doi.org/10.1090/S0002-9939-1972-0286779-3
Union conditions in Noether lattices
Johnny A. Johnson
Proc. Amer. Math. Soc. 31 (1972), 391-394
DOI: https://doi.org/10.1090/S0002-9939-1972-0294188-6
Which abelian groups can support a directed, interpolation order?
A. M. W. Glass
Proc. Amer. Math. Soc. 31 (1972), 395-400
DOI: https://doi.org/10.1090/S0002-9939-1972-0289389-7
Characterization of rings using quasiprojective modules. III
Jonathan S. Golan
Proc. Amer. Math. Soc. 31 (1972), 401-408
DOI: https://doi.org/10.1090/S0002-9939-1972-0302700-3
An embedding theorem for commutative lattice-ordered domains
Stuart A. Steinberg
Proc. Amer. Math. Soc. 31 (1972), 409-416
DOI: https://doi.org/10.1090/S0002-9939-1972-0285464-1
Separating $p$-bases and transcendental extension fields
J. N. Mordeson and B. Vinograde
Proc. Amer. Math. Soc. 31 (1972), 417-422
DOI: https://doi.org/10.1090/S0002-9939-1972-0289465-9
An extension of the Noether-Deuring theorem
Klaus W. Roggenkamp
Proc. Amer. Math. Soc. 31 (1972), 423-426
DOI: https://doi.org/10.1090/S0002-9939-1972-0286839-7
Determination of $k_{n} (n\geq 3)$ for global fields
Richard Elman and T.-Y. Lam
Proc. Amer. Math. Soc. 31 (1972), 427-428
DOI: https://doi.org/10.1090/S0002-9939-1972-0289604-X
A note on finitely generated ideals which are locally principal
James W. Brewer and Edgar A. Rutter
Proc. Amer. Math. Soc. 31 (1972), 429-432
DOI: https://doi.org/10.1090/S0002-9939-1972-0289480-5
On the exponent of the ideal class groups of complex quadratic fields.
David W. Boyd and H. Kisilevsky
Proc. Amer. Math. Soc. 31 (1972), 433-436
DOI: https://doi.org/10.1090/S0002-9939-1972-0289454-4
Monotonicity of positive semidefinite Hermitian matrices
Russell Merris and Stephen Pierce
Proc. Amer. Math. Soc. 31 (1972), 437-440
DOI: https://doi.org/10.1090/S0002-9939-1972-0285556-7
On the existence of fixed points in a totally ordered set
F. T. Metcalf and T. H. Payne
Proc. Amer. Math. Soc. 31 (1972), 441-444
DOI: https://doi.org/10.1090/S0002-9939-1972-0286722-7
Principal ideals in the ideal lattice
H. Subramanian
Proc. Amer. Math. Soc. 31 (1972), 445
DOI: https://doi.org/10.1090/S0002-9939-1972-0284424-4
Starlike meromorphic functions
James Miller
Proc. Amer. Math. Soc. 31 (1972), 446-452
DOI: https://doi.org/10.1090/S0002-9939-1972-0288267-7
Positive solutions of positive linear equations
Paul Nelson
Proc. Amer. Math. Soc. 31 (1972), 453-457
DOI: https://doi.org/10.1090/S0002-9939-1972-0288605-5
The spectra of unbounded hyponormal operators
C. R. Putnam
Proc. Amer. Math. Soc. 31 (1972), 458-464
DOI: https://doi.org/10.1090/S0002-9939-1972-0291848-8
Isometries of $H^{p}$ spaces of the torus
Nand Lal and Samuel Merrill
Proc. Amer. Math. Soc. 31 (1972), 465-471
DOI: https://doi.org/10.1090/S0002-9939-1972-0296676-5
A representation theorem for $L^{p}$ spaces
Marek Kanter
Proc. Amer. Math. Soc. 31 (1972), 472-474
DOI: https://doi.org/10.1090/S0002-9939-1972-0290088-6
On the smoothness of eigenfunctions of hyponormal singular integral operators
Kevin Clancey
Proc. Amer. Math. Soc. 31 (1972), 475-479
DOI: https://doi.org/10.1090/S0002-9939-1972-0284873-4
Stone’s theorem for a group of unitary operators over a Hilbert space
Habib Salehi
Proc. Amer. Math. Soc. 31 (1972), 480-484
DOI: https://doi.org/10.1090/S0002-9939-1972-0300128-3
Measurability of functions in product spaces
Kohur Gowrisankaran
Proc. Amer. Math. Soc. 31 (1972), 485-488
DOI: https://doi.org/10.1090/S0002-9939-1972-0291403-X
A uniform asymptotic turning point theory for second order linear ordinary differential equations
Erich Zauderer
Proc. Amer. Math. Soc. 31 (1972), 489-494
DOI: https://doi.org/10.1090/S0002-9939-1972-0288365-8
Equivalent types of invariant means on locally compact groups
P. F. Renaud
Proc. Amer. Math. Soc. 31 (1972), 495-498
DOI: https://doi.org/10.1090/S0002-9939-1972-0304974-1
On asymptotic behavior of perturbed nonlinear systems
R. E. Fennell and T. G. Proctor
Proc. Amer. Math. Soc. 31 (1972), 499-504
DOI: https://doi.org/10.1090/S0002-9939-1972-0287099-3
Multiplier operators on $B^{\ast }$-algebras
B. D. Malviya and B. J. Tomiuk
Proc. Amer. Math. Soc. 31 (1972), 505-510
DOI: https://doi.org/10.1090/S0002-9939-1972-0305085-1
Dual necklaces of $n$-dimensional cubes
Kenneth Kalmanson
Proc. Amer. Math. Soc. 31 (1972), 511-516
DOI: https://doi.org/10.1090/S0002-9939-1972-0285993-0
Extending congruence relations
Peter Krauss
Proc. Amer. Math. Soc. 31 (1972), 517-520
DOI: https://doi.org/10.1090/S0002-9939-1972-0285470-7
A property of arithmetic sets
Hisao Tanaka
Proc. Amer. Math. Soc. 31 (1972), 521-524
DOI: https://doi.org/10.1090/S0002-9939-1972-0286661-1
Elementary extensions of linear topological abelian groups
R. G. Phillips and P. L. Sperry
Proc. Amer. Math. Soc. 31 (1972), 525-528
DOI: https://doi.org/10.1090/S0002-9939-1972-0288212-4
The Wall invariant of certain $S^{1}$ bundles
Douglas R. Anderson
Proc. Amer. Math. Soc. 31 (1972), 529-535
DOI: https://doi.org/10.1090/S0002-9939-1972-0287545-5
The bordism ring of manifolds with involution
J. C. Alexander
Proc. Amer. Math. Soc. 31 (1972), 536-542
DOI: https://doi.org/10.1090/S0002-9939-1972-0290379-9
A product theorem for $H$-group fibrations
F. H. Croom
Proc. Amer. Math. Soc. 31 (1972), 543-549
DOI: https://doi.org/10.1090/S0002-9939-1972-0290368-4
The hyperspace of a pseudoarc is a Cantor manifold
Togo Nishiura and Choon Jai Rhee
Proc. Amer. Math. Soc. 31 (1972), 550-556
DOI: https://doi.org/10.1090/S0002-9939-1972-0290337-4
An index for set-valued maps in infinite-dimensional spaces
Stephen A. Williams
Proc. Amer. Math. Soc. 31 (1972), 557-563
DOI: https://doi.org/10.1090/S0002-9939-1972-0287535-2
Equivariant bordism and cyclic groups
Peter S. Landweber
Proc. Amer. Math. Soc. 31 (1972), 564-570
DOI: https://doi.org/10.1090/S0002-9939-1972-0296969-1
Regular compactifications of convergence spaces
G. D. Richardson and D. C. Kent
Proc. Amer. Math. Soc. 31 (1972), 571-573
DOI: https://doi.org/10.1090/S0002-9939-1972-0286074-2
On the countably generated $z$-ideals of $C(X)$
G. De Marco
Proc. Amer. Math. Soc. 31 (1972), 574-576
DOI: https://doi.org/10.1090/S0002-9939-1972-0288563-3
A compactification of locally compact spaces
F. W. Lozier
Proc. Amer. Math. Soc. 31 (1972), 577-579
DOI: https://doi.org/10.1090/S0002-9939-1972-0286072-9
$H$-spaces which are co-$H$-spaces
Robert W. West
Proc. Amer. Math. Soc. 31 (1972), 580-582
DOI: https://doi.org/10.1090/S0002-9939-1972-0285006-0
Sets accessible at each point only by wild arcs
Gary Glenn Miller
Proc. Amer. Math. Soc. 31 (1972), 583-590
DOI: https://doi.org/10.1090/S0002-9939-1972-0284992-2
Rigid pairs of long arcs
Gary G. Miller
Proc. Amer. Math. Soc. 31 (1972), 591-594
DOI: https://doi.org/10.1090/S0002-9939-1972-0290336-2
Fixed point theorems for certain classes of multifunctions
R. E. Smithson
Proc. Amer. Math. Soc. 31 (1972), 595-600
DOI: https://doi.org/10.1090/S0002-9939-1972-0288750-4
On Spanier’s higher order operations
Yuh-ching Chen
Proc. Amer. Math. Soc. 31 (1972), 601-604
DOI: https://doi.org/10.1090/S0002-9939-1972-0288758-9
An algebraic proof that $[\Omega ^{U}]_{2}=\mathfrak {N}^{2}$
Don Porter
Proc. Amer. Math. Soc. 31 (1972), 605-608
DOI: https://doi.org/10.1090/S0002-9939-1972-0288773-5
Products of uncountably many $k$-spaces
N. Noble
Proc. Amer. Math. Soc. 31 (1972), 609-612
DOI: https://doi.org/10.1090/S0002-9939-1972-0287503-0
$C$-embedded subsets of products
N. Noble
Proc. Amer. Math. Soc. 31 (1972), 613-614
DOI: https://doi.org/10.1090/S0002-9939-1972-0284978-8
Pseudo-isotopies of arcs and knots
Carl D. Sikkema
Proc. Amer. Math. Soc. 31 (1972), 615-616
DOI: https://doi.org/10.1090/S0002-9939-1972-0286094-8
Inadequacy of ordinary homology theory
T. Y. Lin
Proc. Amer. Math. Soc. 31 (1972), 617-619
DOI: https://doi.org/10.1090/S0002-9939-1972-0307241-5
A note on one-dimensional attracting sets in the three-sphere
Joel C. Gibbons
Proc. Amer. Math. Soc. 31 (1972), 620-622
DOI: https://doi.org/10.1090/S0002-9939-1972-0292109-3
A decomposition theorem for closed compact connected P. L. $n$-manifolds
B. G. Casler
Proc. Amer. Math. Soc. 31 (1972), 623-624
DOI: https://doi.org/10.1090/S0002-9939-1972-0290372-6
Quotient groups of topological groups with no small subgroups
Sidney A. Morris
Proc. Amer. Math. Soc. 31 (1972), 625-626
DOI: https://doi.org/10.1090/S0002-9939-1972-0293000-9
Another fixed point theorem for plane continua
Charles L. Hagopian
Proc. Amer. Math. Soc. 31 (1972), 627-628
DOI: https://doi.org/10.1090/S0002-9939-1972-0286093-6
A holomorphic function having a discontinuous inverse
T. J. Suffridge
Proc. Amer. Math. Soc. 31 (1972), 629-630
DOI: https://doi.org/10.1090/S0002-9939-1972-0284813-8
Pólya’s property $W$ and factorization—A short proof
Robert Ristroph
Proc. Amer. Math. Soc. 31 (1972), 631-632
DOI: https://doi.org/10.1090/S0002-9939-1972-0288338-5
Cyclic vectors of induced representations
A. Hulanicki and T. Pytlik
Proc. Amer. Math. Soc. 31 (1972), 633-634
DOI: https://doi.org/10.1090/S0002-9939-1972-0289717-2
Spherical images of convex surfaces
M. do Carmo and B. Lawson
Proc. Amer. Math. Soc. 31 (1972), 635-636
DOI: https://doi.org/10.1090/S0002-9939-1972-0293548-7
Vanishing of Stiefel-Whitney classes
W. A. Sutherland
Proc. Amer. Math. Soc. 31 (1972), 637
DOI: https://doi.org/10.1090/S0002-9939-1972-0292081-6
Erratum to Volume 27; Erratum to Volume 29
Proc. Amer. Math. Soc. 31 (1972), 638-638
DOI: https://doi.org/10.1090/S0002-9939-72-99955-8