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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 40, Number 2
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Some pathology involving pseudo $l$-groups as groups of divisibility
Jorge Martinez
Proc. Amer. Math. Soc. 40 (1973), 333-340
DOI: https://doi.org/10.1090/S0002-9939-1973-0319825-X
Identities for series of the type $\Sigma f(n)\mu (n)n^{-s}$
Tom M. Apostol
Proc. Amer. Math. Soc. 40 (1973), 341-345
DOI: https://doi.org/10.1090/S0002-9939-1973-0319868-6
Colength of derivation ideals
Kenneth Kramer
Proc. Amer. Math. Soc. 40 (1973), 346-350
DOI: https://doi.org/10.1090/S0002-9939-1973-0318122-6
Solvable and nilpotent near-ring modules
Gordon Mason
Proc. Amer. Math. Soc. 40 (1973), 351-357
DOI: https://doi.org/10.1090/S0002-9939-1973-0320094-5
Permanent groups. II
Leroy B. Beasley and Larry Cummings
Proc. Amer. Math. Soc. 40 (1973), 358-364
DOI: https://doi.org/10.1090/S0002-9939-1973-0320030-1
On semiprime P. I. rings
Wallace S. Martindale
Proc. Amer. Math. Soc. 40 (1973), 365-369
DOI: https://doi.org/10.1090/S0002-9939-1973-0318215-3
Minimal primes of ideals and integral ring extensions
William Heinzer
Proc. Amer. Math. Soc. 40 (1973), 370-372
DOI: https://doi.org/10.1090/S0002-9939-1973-0319962-X
A prime-divisor function
J. Knopfmacher
Proc. Amer. Math. Soc. 40 (1973), 373-377
DOI: https://doi.org/10.1090/S0002-9939-1973-0327694-7
On representations of the group of Listing’s knot by subgroups of $\textrm {SL}(2, C)$
Alice Whittemore
Proc. Amer. Math. Soc. 40 (1973), 378-382
DOI: https://doi.org/10.1090/S0002-9939-1973-0316585-3
On special linear characters of free groups of rank $n\geq 4$
Alice Whittemore
Proc. Amer. Math. Soc. 40 (1973), 383-388
DOI: https://doi.org/10.1090/S0002-9939-1973-0322064-X
Finiteness conditions for projective and injective modules
Joe W. Fisher
Proc. Amer. Math. Soc. 40 (1973), 389-394
DOI: https://doi.org/10.1090/S0002-9939-1973-0335578-3
Commutative extensions by canonical modules are Gorenstein rings
Robert Fossum
Proc. Amer. Math. Soc. 40 (1973), 395-400
DOI: https://doi.org/10.1090/S0002-9939-1973-0318139-1
Characterization of certain groupoids and loops
Pl. Kannappan
Proc. Amer. Math. Soc. 40 (1973), 401-406
DOI: https://doi.org/10.1090/S0002-9939-1973-0318382-1
The structure of a lattice-ordered group as determined by its prime subgroups
Keith R. Pierce
Proc. Amer. Math. Soc. 40 (1973), 407-412
DOI: https://doi.org/10.1090/S0002-9939-1973-0337719-0
The Schur multiplicator of metacyclic groups
F. Rudolf Beyl
Proc. Amer. Math. Soc. 40 (1973), 413-418
DOI: https://doi.org/10.1090/S0002-9939-1973-0325759-7
On products of powers in groups
Roger Lyndon, Thomas McDonough and Morris Newman
Proc. Amer. Math. Soc. 40 (1973), 419-420
DOI: https://doi.org/10.1090/S0002-9939-1973-0320153-7
Semigroups with positive definite structure
Parfeny P. Saworotnow
Proc. Amer. Math. Soc. 40 (1973), 421-425
DOI: https://doi.org/10.1090/S0002-9939-1973-0320640-1
A generalization of the Banach-Stone theorem
Bahattin Cengiz
Proc. Amer. Math. Soc. 40 (1973), 426-430
DOI: https://doi.org/10.1090/S0002-9939-1973-0320723-6
Admissible exponential representations and topological indices for functions of bounded variation
F. M. Wright and J. N. Ling
Proc. Amer. Math. Soc. 40 (1973), 431-437
DOI: https://doi.org/10.1090/S0002-9939-1973-0324053-8
On approximation in the Bers spaces
Charles K. Chui
Proc. Amer. Math. Soc. 40 (1973), 438-442
DOI: https://doi.org/10.1090/S0002-9939-1973-0340608-9
Some order and topological properties of locally solid linear topological Riesz spaces
C. D. Aliprantis
Proc. Amer. Math. Soc. 40 (1973), 443-447
DOI: https://doi.org/10.1090/S0002-9939-1973-0320692-9
Chebyshev subspaces and convergence of positive linear operators
C. A. Micchelli
Proc. Amer. Math. Soc. 40 (1973), 448-452
DOI: https://doi.org/10.1090/S0002-9939-1973-0328445-2
Local automorphisms are differential operators on some Banach spaces
John C. Wells and Charles R. DePrima
Proc. Amer. Math. Soc. 40 (1973), 453-457
DOI: https://doi.org/10.1090/S0002-9939-1973-0324470-6
Subalgebras of $B[c]$
H. I. Brown and Tae Geun Cho
Proc. Amer. Math. Soc. 40 (1973), 458-464
DOI: https://doi.org/10.1090/S0002-9939-1973-0324438-X
A bounded Hilbertian basis in $C[0, 1]$
Sherwood Samn
Proc. Amer. Math. Soc. 40 (1973), 465-469
DOI: https://doi.org/10.1090/S0002-9939-1973-0320718-2
On the variational method for the existence of solutions of nonlinear equations of Hammerstein type
Djairo G. de Figueiredo and Chaitan P. Gupta
Proc. Amer. Math. Soc. 40 (1973), 470-476
DOI: https://doi.org/10.1090/S0002-9939-1973-0318988-X
Reducing decompositions for strictly cyclic operators
Richard Bouldin
Proc. Amer. Math. Soc. 40 (1973), 477-481
DOI: https://doi.org/10.1090/S0002-9939-1973-0320777-7
On compact operators in the weak closure of the range of a derivation
Hong W. Kim
Proc. Amer. Math. Soc. 40 (1973), 482-486
DOI: https://doi.org/10.1090/S0002-9939-1973-0318956-8
A second order nonlinear oscillation theorem
James S. W. Wong
Proc. Amer. Math. Soc. 40 (1973), 487-491
DOI: https://doi.org/10.1090/S0002-9939-1973-0318585-6
Analytic functions, ideals, and derivation ranges
R. E. Weber
Proc. Amer. Math. Soc. 40 (1973), 492-496
DOI: https://doi.org/10.1090/S0002-9939-1973-0353025-2
Automorphisms of commutative Banach algebras
B. E. Johnson
Proc. Amer. Math. Soc. 40 (1973), 497-499
DOI: https://doi.org/10.1090/S0002-9939-1973-0317053-5
Physical states on a $C^*$-algebra
Charles A. Akemann and Stuart M. Newberger
Proc. Amer. Math. Soc. 40 (1973), 500
DOI: https://doi.org/10.1090/S0002-9939-1973-0318860-5
Concave solutions of a Dirichlet problem
H. Guggenheimer
Proc. Amer. Math. Soc. 40 (1973), 501-506
DOI: https://doi.org/10.1090/S0002-9939-1973-0330481-7
Classification of bounded solutions of a linear nonhomogeneous differential equation
Thomas G. Hallam
Proc. Amer. Math. Soc. 40 (1973), 507-512
DOI: https://doi.org/10.1090/S0002-9939-1973-0320409-8
On Akcoglu and Sucheston’s operator convergence theorem in Lebesgue space
Ryōtarō Satō
Proc. Amer. Math. Soc. 40 (1973), 513-516
DOI: https://doi.org/10.1090/S0002-9939-1973-0341138-0
Metric inequalities and the zonoid problem
H. S. Witsenhausen
Proc. Amer. Math. Soc. 40 (1973), 517-520
DOI: https://doi.org/10.1090/S0002-9939-1973-0390916-0
Tensor products and joint numerical range
A. T. Dash
Proc. Amer. Math. Soc. 40 (1973), 521-526
DOI: https://doi.org/10.1090/S0002-9939-1973-0336380-9
Probability measures on semigroups
Peter Gerl
Proc. Amer. Math. Soc. 40 (1973), 527-532
DOI: https://doi.org/10.1090/S0002-9939-1973-0318776-4
Isomorphism theorems for infinite order differential operators
J. D. Buckholtz
Proc. Amer. Math. Soc. 40 (1973), 533-538
DOI: https://doi.org/10.1090/S0002-9939-1973-0320820-5
Bounded holomorphic functions in Siegel domains
Su Shing Chen
Proc. Amer. Math. Soc. 40 (1973), 539-542
DOI: https://doi.org/10.1090/S0002-9939-1973-0322211-X
Zero sets of functions from non-quasi-analytic classes
R. B. Darst
Proc. Amer. Math. Soc. 40 (1973), 543-544
DOI: https://doi.org/10.1090/S0002-9939-1973-0323978-7
More on tight isometric immersions of codimension two
Chang Shing Chen
Proc. Amer. Math. Soc. 40 (1973), 545-553
DOI: https://doi.org/10.1090/S0002-9939-1973-0375169-1
A characterization of four-dimensional Einstein manifolds
Yi Ching Yen
Proc. Amer. Math. Soc. 40 (1973), 554-558
DOI: https://doi.org/10.1090/S0002-9939-1973-0332096-3
Metric inequalities and convexity
Dorothy Wolfe
Proc. Amer. Math. Soc. 40 (1973), 559-562
DOI: https://doi.org/10.1090/S0002-9939-1973-0319045-9
An invariant of conformal mappings
Bang-yen Chen
Proc. Amer. Math. Soc. 40 (1973), 563-564
DOI: https://doi.org/10.1090/S0002-9939-1973-0320956-9
A generalization of Tietze’s theorem on convex sets in $R^{3}$
Nick M. Stavrakas
Proc. Amer. Math. Soc. 40 (1973), 565-567
DOI: https://doi.org/10.1090/S0002-9939-1973-0341280-4
Terms in cylindric algebras
Charles Pinter
Proc. Amer. Math. Soc. 40 (1973), 568-572
DOI: https://doi.org/10.1090/S0002-9939-1973-0325391-5
On retraceable sets with rapid growth
T. G. McLaughlin
Proc. Amer. Math. Soc. 40 (1973), 573-576
DOI: https://doi.org/10.1090/S0002-9939-1973-0340010-X
The model theory of differential fields of characteristic $p\not =0$
Carol Wood
Proc. Amer. Math. Soc. 40 (1973), 577-584
DOI: https://doi.org/10.1090/S0002-9939-1973-0329887-1
Abstract stationary processes
Parfeny P. Saworotnow
Proc. Amer. Math. Soc. 40 (1973), 585-589
DOI: https://doi.org/10.1090/S0002-9939-1973-0324762-0
Further extending a complete convex metric
Robert A. Dooley
Proc. Amer. Math. Soc. 40 (1973), 590-596
DOI: https://doi.org/10.1090/S0002-9939-1973-0322824-5
On characteristic classes of groups and bundles of $K(\Pi , 1)$’s
R. O. Hill
Proc. Amer. Math. Soc. 40 (1973), 597-603
DOI: https://doi.org/10.1090/S0002-9939-1973-0319192-1
On contractive mappings
Michael A. Geraghty
Proc. Amer. Math. Soc. 40 (1973), 604-608
DOI: https://doi.org/10.1090/S0002-9939-1973-0334176-5
Projectivity of the Whitehead square
Duane Randall
Proc. Amer. Math. Soc. 40 (1973), 609-611
DOI: https://doi.org/10.1090/S0002-9939-1973-0356047-0
Certain subsets of products of $\theta$-refinable spaces are realcompact
Phillip Zenor
Proc. Amer. Math. Soc. 40 (1973), 612-614
DOI: https://doi.org/10.1090/S0002-9939-1973-0322812-9
Criteria for compactness and for discreteness of locally compact amenable groups
Edmond Granirer
Proc. Amer. Math. Soc. 40 (1973), 615-624
DOI: https://doi.org/10.1090/S0002-9939-1973-0340962-8
Anosov flows and expansiveness
Victor Norton and Thomas O’Brien
Proc. Amer. Math. Soc. 40 (1973), 625-628
DOI: https://doi.org/10.1090/S0002-9939-1973-0322907-X
On the groups of inertia of smooth manifolds
Adil G. Naoum
Proc. Amer. Math. Soc. 40 (1973), 629-634
DOI: https://doi.org/10.1090/S0002-9939-1973-0339231-1
Compactification and completion as absolute closure
Anthony W. Hager
Proc. Amer. Math. Soc. 40 (1973), 635-638
DOI: https://doi.org/10.1090/S0002-9939-1973-0331326-1