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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 39, Number 3
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A case in which irreducibility of an analytic germ implies irreducibility of the tangent cone
Richard Draper
Proc. Amer. Math. Soc. 39 (1973), 443-449
DOI: https://doi.org/10.1090/S0002-9939-1973-0316744-X
Some inequalities for the multiplicator of a finite group
Michael R. Jones
Proc. Amer. Math. Soc. 39 (1973), 450-456
DOI: https://doi.org/10.1090/S0002-9939-1973-0314975-6
On splitting cotorsion radicals
V. S. Ramamurthi
Proc. Amer. Math. Soc. 39 (1973), 457-461
DOI: https://doi.org/10.1090/S0002-9939-1973-0313323-5
The Schnirelmann density of the $(k, 2)$-integers
P. H. Diananda
Proc. Amer. Math. Soc. 39 (1973), 462-464
DOI: https://doi.org/10.1090/S0002-9939-1973-0376598-2
Structure of semiprime P.I. rings
Joe W. Fisher
Proc. Amer. Math. Soc. 39 (1973), 465-467
DOI: https://doi.org/10.1090/S0002-9939-1973-0320049-0
On the Hasse principle for quadratic forms
J. S. Hsia
Proc. Amer. Math. Soc. 39 (1973), 468-470
DOI: https://doi.org/10.1090/S0002-9939-1973-0311572-3
Semigroup rings and semilattice sums of rings
Julian Weissglass
Proc. Amer. Math. Soc. 39 (1973), 471-478
DOI: https://doi.org/10.1090/S0002-9939-1973-0322092-4
Regularity of semilattice sums of rings
John Janeski and Julian Weissglass
Proc. Amer. Math. Soc. 39 (1973), 479-482
DOI: https://doi.org/10.1090/S0002-9939-1973-0316495-1
A van Kampen theorem for separable algebras
Andy R. Magid
Proc. Amer. Math. Soc. 39 (1973), 483-488
DOI: https://doi.org/10.1090/S0002-9939-1973-0313237-0
$K$-theory of commutative regular rings
Andy R. Magid
Proc. Amer. Math. Soc. 39 (1973), 489-492
DOI: https://doi.org/10.1090/S0002-9939-1973-0311650-9
The Brauer group of an Amitsur field
Chan Nan Chang
Proc. Amer. Math. Soc. 39 (1973), 493-496
DOI: https://doi.org/10.1090/S0002-9939-1973-0314812-X
On uniform elementary estimates of arithmetic sums
Stefan A. Burr
Proc. Amer. Math. Soc. 39 (1973), 497-502
DOI: https://doi.org/10.1090/S0002-9939-1973-0314784-8
Chebyshev estimates for Beurling generalized prime numbers
Harold G. Diamond
Proc. Amer. Math. Soc. 39 (1973), 503-508
DOI: https://doi.org/10.1090/S0002-9939-1973-0314782-4
Conditions for $\textrm {Ker}(R[X]\rightarrow R[c/b])$ to have a linear base
L. J. Ratliff
Proc. Amer. Math. Soc. 39 (1973), 509-514
DOI: https://doi.org/10.1090/S0002-9939-1973-0316442-2
On going down for simple overrings
David E. Dobbs
Proc. Amer. Math. Soc. 39 (1973), 515-519
DOI: https://doi.org/10.1090/S0002-9939-1973-0417152-3
An extremal property of some capacitary measures in $E_{n}$
Burgess Davis and John L. Lewis
Proc. Amer. Math. Soc. 39 (1973), 520-524
DOI: https://doi.org/10.1090/S0002-9939-1973-0320347-0
Local boundedness and continuity for a functional equation on topological spaces
C. T. Ng
Proc. Amer. Math. Soc. 39 (1973), 525-529
DOI: https://doi.org/10.1090/S0002-9939-1973-0318719-3
A note on the Radon-Nikodym theorem
Tae Geun Cho and A. Tong
Proc. Amer. Math. Soc. 39 (1973), 530-534
DOI: https://doi.org/10.1090/S0002-9939-1973-0315085-4
Sufficient conditions in the calculus of variations and in the theory of optimal control
Zeev Nehari
Proc. Amer. Math. Soc. 39 (1973), 535-539
DOI: https://doi.org/10.1090/S0002-9939-1973-0319007-1
Ergodic properties of bounded $L_{1}$-operators
Ryōtarō Satō
Proc. Amer. Math. Soc. 39 (1973), 540-546
DOI: https://doi.org/10.1090/S0002-9939-1973-0414828-9
The growth of hypoelliptic polynomials and Gevrey classes
E. Newberger and Z. Zieleźny
Proc. Amer. Math. Soc. 39 (1973), 547-552
DOI: https://doi.org/10.1090/S0002-9939-1973-0318660-6
Two types of hyperinvariant subspaces
Robert M. Kauffman
Proc. Amer. Math. Soc. 39 (1973), 553-558
DOI: https://doi.org/10.1090/S0002-9939-1973-0336389-5
An isolated bounded point derivation
Anthony G. O’Farrell
Proc. Amer. Math. Soc. 39 (1973), 559-562
DOI: https://doi.org/10.1090/S0002-9939-1973-0315452-9
Primitive ideals in von Neumann algebras
Herbert Halpern
Proc. Amer. Math. Soc. 39 (1973), 563-566
DOI: https://doi.org/10.1090/S0002-9939-1973-0318906-4
On coefficients and zeros of sections of power series
J. K. Shaw
Proc. Amer. Math. Soc. 39 (1973), 567-570
DOI: https://doi.org/10.1090/S0002-9939-1973-0318461-9
A characterization of thin operators in a von Neumann algebra
Catherine L. Olsen
Proc. Amer. Math. Soc. 39 (1973), 571-578
DOI: https://doi.org/10.1090/S0002-9939-1973-0341121-5
On periodic solutions of autonomous Hamiltonian systems of ordinary differential equations
David C. Clark
Proc. Amer. Math. Soc. 39 (1973), 579-584
DOI: https://doi.org/10.1090/S0002-9939-1973-0315217-8
A combinatorial analog of Lyapunov’s theorem for infinitesimally generated atomic vector measures
Peter A. Loeb
Proc. Amer. Math. Soc. 39 (1973), 585-586
DOI: https://doi.org/10.1090/S0002-9939-1973-0316674-3
Intersecting unions of maximal convex sets
Marilyn Breen
Proc. Amer. Math. Soc. 39 (1973), 587-590
DOI: https://doi.org/10.1090/S0002-9939-1973-0319046-0
Model companions for $\aleph _{0}$-categorical theories
D. Saracino
Proc. Amer. Math. Soc. 39 (1973), 591-598
DOI: https://doi.org/10.1090/S0002-9939-1973-0316238-1
Random walks on compact semigroups
A. Mukherjea, T. C. Sun and N. A. Tserpes
Proc. Amer. Math. Soc. 39 (1973), 599-605
DOI: https://doi.org/10.1090/S0002-9939-1973-0317420-X
Projective compact distributive topological lattices
Tae Ho Choe
Proc. Amer. Math. Soc. 39 (1973), 606-608
DOI: https://doi.org/10.1090/S0002-9939-1973-0317296-0
Generalized Steenrod-Hopf invariants for stable homotopy theory
Warren M. Krueger
Proc. Amer. Math. Soc. 39 (1973), 609-615
DOI: https://doi.org/10.1090/S0002-9939-1973-0385860-9
Spheres which are loop spaces $\textrm {mod}$ $p$
Clarence Wilkerson
Proc. Amer. Math. Soc. 39 (1973), 616-618
DOI: https://doi.org/10.1090/S0002-9939-1973-0317319-9
Transformation groups of automorphisms of $C(X, G)$
J. S. Yang
Proc. Amer. Math. Soc. 39 (1973), 619-624
DOI: https://doi.org/10.1090/S0002-9939-1973-0317308-4
Halving the Milnor manifolds and some conjectures of Ray
David M. Segal
Proc. Amer. Math. Soc. 39 (1973), 625-628
DOI: https://doi.org/10.1090/S0002-9939-1973-0368041-4
Cohomology of fibre spaces with group bundle coefficients
M. V. Mielke
Proc. Amer. Math. Soc. 39 (1973), 629-632
DOI: https://doi.org/10.1090/S0002-9939-1973-0317326-6
A non-Hausdorff Ascoli theorem for $k_{3}$-spaces
Geoffrey Fox and Pedro Morales
Proc. Amer. Math. Soc. 39 (1973), 633-636
DOI: https://doi.org/10.1090/S0002-9939-1973-0391004-X
Cohomology of a bounding manifold
Larry Smith and R. E. Stong
Proc. Amer. Math. Soc. 39 (1973), 637-639
DOI: https://doi.org/10.1090/S0002-9939-1973-0326765-9
The nonexistence of complex Haar systems of nonplanar locally connected spaces
George W. Henderson and Brian R. Ummel
Proc. Amer. Math. Soc. 39 (1973), 640-641
DOI: https://doi.org/10.1090/S0002-9939-1973-0315343-3
An elementary proof of the Morse-Palais lemma for Banach spaces
Dang Dinh Ang and Vu Trong Tuan
Proc. Amer. Math. Soc. 39 (1973), 642-644
DOI: https://doi.org/10.1090/S0002-9939-1973-0319225-2
A note on Mordell’s equation $y^{2}=x^{3}+k$
S. P. Mohanty
Proc. Amer. Math. Soc. 39 (1973), 645-646
DOI: https://doi.org/10.1090/S0002-9939-1973-0316377-5
A very slowly convergent sequence of continuous functions
Walter Rudin
Proc. Amer. Math. Soc. 39 (1973), 647-648
DOI: https://doi.org/10.1090/S0002-9939-1973-0315324-X
Distance spheres in complex projective spaces
Alan Weinstein
Proc. Amer. Math. Soc. 39 (1973), 649-650
DOI: https://doi.org/10.1090/S0002-9939-1973-0315631-0
Erratum: “The generalized inverse of a nonnegative matrix”
R. J. Plemmons and R. E. Cline
Proc. Amer. Math. Soc. 39 (1973), 651
DOI: https://doi.org/10.1090/S0002-9939-1973-0314859-3
Erratum: “Zero sets of functions from non-quasi-analytic classes”
R. B. Hughes
Proc. Amer. Math. Soc. 39 (1973), 651
DOI: https://doi.org/10.1090/S0002-9939-1973-0315075-1
Erratum: “On convolutions with the Möbius function”
Sanford L. Segal
Proc. Amer. Math. Soc. 39 (1973), 652
DOI: https://doi.org/10.1090/S0002-9939-1973-0314785-X