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 49, Number 2
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Hopf algebras with nonsemisimple antipode: Earl J. Taft and Robert Lee Wilson; Proc. Amer. Math. Soc. 49 (1975), 269-276; DOI: https://doi.org/10.1090/S0002-9939-1975-0376742-9; PDF

On Euler’s criterion for cubic nonresidues: Kenneth S. Williams; Proc. Amer. Math. Soc. 49 (1975), 277-283; DOI: https://doi.org/10.1090/S0002-9939-1975-0366792-0; PDF

Number fields with prescribed $l$-class groups: Frank Gerth; Proc. Amer. Math. Soc. 49 (1975), 284-288; DOI: https://doi.org/10.1090/S0002-9939-1975-0366871-8; PDF

Inequalities concerning the characters of a finite group: K. L. Fields; Proc. Amer. Math. Soc. 49 (1975), 289-293; DOI: https://doi.org/10.1090/S0002-9939-1975-0367045-7; PDF

Polynomial rings over a commutative von Neumann regular ring: Robert Gilmer; Proc. Amer. Math. Soc. 49 (1975), 294-296; DOI: https://doi.org/10.1090/S0002-9939-1975-0366907-4; PDF

Steinitz classes of cyclic extensions of degree $l^{r}$: Robert Long; Proc. Amer. Math. Soc. 49 (1975), 297-304; DOI: https://doi.org/10.1090/S0002-9939-1975-0366873-1; PDF

Pseudo-injective modules which are not quasi-injective: Mark L. Teply; Proc. Amer. Math. Soc. 49 (1975), 305-310; DOI: https://doi.org/10.1090/S0002-9939-1975-0366977-3; PDF

Test modules: T. Cheatham and R. Cumbie; Proc. Amer. Math. Soc. 49 (1975), 311-314; DOI: https://doi.org/10.1090/S0002-9939-1975-0371958-X; PDF

The Hughes conjecture and groups with absolutely regular subgroups or $ECF$-subgroups: Joseph A. Gallian; Proc. Amer. Math. Soc. 49 (1975), 315-318; DOI: https://doi.org/10.1090/S0002-9939-1975-0364442-0; PDF

An upper bound for the permanent of a fully indecomposable matrix: Thomas H. Foregger; Proc. Amer. Math. Soc. 49 (1975), 319-324; DOI: https://doi.org/10.1090/S0002-9939-1975-0369385-4; PDF

Cones of potentials: Bruce Calvert; Proc. Amer. Math. Soc. 49 (1975), 325-333; DOI: https://doi.org/10.1090/S0002-9939-1975-0383160-6; PDF

Smoothness of decaying wave motions: Jeffrey Rauch; Proc. Amer. Math. Soc. 49 (1975), 334-338; DOI: https://doi.org/10.1090/S0002-9939-1975-0367463-7; PDF

On the nonexistence of unimodular functions in $R^{2}(X, dx dy)$: Alfred G. Brandstein; Proc. Amer. Math. Soc. 49 (1975), 339-341; DOI: https://doi.org/10.1090/S0002-9939-1975-0367632-6; PDF

Duality between $H^{p}$ and $H^{q}$ and associated projections: Walter Pranger; Proc. Amer. Math. Soc. 49 (1975), 342-348; DOI: https://doi.org/10.1090/S0002-9939-1975-0377064-2; PDF

A weighted norm inequality for Vilenkin-Fourier series: John A. Gosselin; Proc. Amer. Math. Soc. 49 (1975), 349-353; DOI: https://doi.org/10.1090/S0002-9939-1975-0367547-3; PDF

A noncompact Choquet theorem: G. A. Edgar; Proc. Amer. Math. Soc. 49 (1975), 354-358; DOI: https://doi.org/10.1090/S0002-9939-1975-0372586-2; PDF

An extension of the Denjoy integral: James Foran; Proc. Amer. Math. Soc. 49 (1975), 359-365; DOI: https://doi.org/10.1090/S0002-9939-1975-0367128-1; PDF

Linear differential equations where nonoscillation is equivalent to eventual disconjugacy: Jerry R. Ridenhour; Proc. Amer. Math. Soc. 49 (1975), 366-372; DOI: https://doi.org/10.1090/S0002-9939-1975-0364759-X; PDF

An ergodic super-property of Banach spaces defined by a class of matrices: A. Brunel, H. Fong and L. Sucheston; Proc. Amer. Math. Soc. 49 (1975), 373-378; DOI: https://doi.org/10.1090/S0002-9939-1975-0365180-0; PDF

Invariant means on almost periodic functions and equicontinuous actions: Anthony To Ming Lau; Proc. Amer. Math. Soc. 49 (1975), 379-382; DOI: https://doi.org/10.1090/S0002-9939-1975-0367551-5; PDF

A converse Steinhaus theorem for locally compact groups: S. M. Simmons; Proc. Amer. Math. Soc. 49 (1975), 383-386; DOI: https://doi.org/10.1090/S0002-9939-1975-0370057-0; PDF

Existence theorems for Urysohn’s integral equation: M. Joshi; Proc. Amer. Math. Soc. 49 (1975), 387-392; DOI: https://doi.org/10.1090/S0002-9939-1975-0370093-4; PDF

The boundary of the numerical range: John S. Lancaster; Proc. Amer. Math. Soc. 49 (1975), 393-398; DOI: https://doi.org/10.1090/S0002-9939-1975-0372644-2; PDF

A note on hyponormal operators: Robert Whitley; Proc. Amer. Math. Soc. 49 (1975), 399-400; DOI: https://doi.org/10.1090/S0002-9939-1975-0365216-7; PDF

Solution of integral equations by product integration: Jon C. Helton; Proc. Amer. Math. Soc. 49 (1975), 401-406; DOI: https://doi.org/10.1090/S0002-9939-1975-0405048-4; PDF

A note on the zeros of Faber polynomials: A. W. Goodman; Proc. Amer. Math. Soc. 49 (1975), 407-410; DOI: https://doi.org/10.1090/S0002-9939-1975-0367167-0; PDF

A note on a trigonometric moment problem: Robert M. Young; Proc. Amer. Math. Soc. 49 (1975), 411-415; DOI: https://doi.org/10.1090/S0002-9939-1975-0367548-5; PDF

On a game theoretic notion of complexity for compact convex sets: Ehud Kalai and Meir Smorodinsky; Proc. Amer. Math. Soc. 49 (1975), 416-420; DOI: https://doi.org/10.1090/S0002-9939-1975-0368707-8; PDF

Schur’s theorem for nearly Kähler manifolds: A. M. Naveira and L. M. Hervella; Proc. Amer. Math. Soc. 49 (1975), 421-425; DOI: https://doi.org/10.1090/S0002-9939-1975-0367848-9; PDF

Łoś’ theorem and the Boolean prime ideal theorem imply the axiom of choice: Paul E. Howard; Proc. Amer. Math. Soc. 49 (1975), 426-428; DOI: https://doi.org/10.1090/S0002-9939-1975-0384548-X; PDF

Lusin sets and well ordering the continuum: David Pincus and Karel Prikry; Proc. Amer. Math. Soc. 49 (1975), 429-435; DOI: https://doi.org/10.1090/S0002-9939-1975-0366667-7; PDF

The supports of infinitely divisible distribution functions: Howard G. Tucker; Proc. Amer. Math. Soc. 49 (1975), 436-440; DOI: https://doi.org/10.1090/S0002-9939-1975-0365658-X; PDF

A note on $C_{c}(X)$: G. D. Richardson and D. C. Kent; Proc. Amer. Math. Soc. 49 (1975), 441-445; DOI: https://doi.org/10.1090/S0002-9939-1975-0370483-X; PDF

A reduction of the fundamental conjecture about locally compact $\textrm {ANR}$’s: A. Fathi and Y. M. Visetti; Proc. Amer. Math. Soc. 49 (1975), 446-448; DOI: https://doi.org/10.1090/S0002-9939-1975-0372866-0; PDF

Characteristic submanifolds of fixed point free involutions: Ellen Stone; Proc. Amer. Math. Soc. 49 (1975), 449-457; DOI: https://doi.org/10.1090/S0002-9939-1975-0388424-8; PDF

A correction to the paper: “Semi-open sets and semi-continuity in topological spaces” (Amer. Math. Monthly 70 (1963), 36–41) by Norman Levine: T. R. Hamlett; Proc. Amer. Math. Soc. 49 (1975), 458-460; DOI: https://doi.org/10.1090/S0002-9939-1975-0367888-X; PDF

Free $S^{3}$-actions on simply connected eight-manifolds: Richard I. Resch; Proc. Amer. Math. Soc. 49 (1975), 461-468; DOI: https://doi.org/10.1090/S0002-9939-1975-0370633-5; PDF

Some universally pierced arcs in $E^{3}$: L. D. Loveland; Proc. Amer. Math. Soc. 49 (1975), 469-474; DOI: https://doi.org/10.1090/S0002-9939-1975-0370590-1; PDF

A relation between obstructions and functional cohomology operations: Robert D. Little; Proc. Amer. Math. Soc. 49 (1975), 475-480; DOI: https://doi.org/10.1090/S0002-9939-1975-0418099-0; PDF

Practically perfect three-manifold groups: D. R. McMillan; Proc. Amer. Math. Soc. 49 (1975), 481-486; DOI: https://doi.org/10.1090/S0002-9939-1975-0368011-8; PDF

Lifting recursion properties through group homomorphisms: S. H. Al-Kutaibi and F. Rhodes; Proc. Amer. Math. Soc. 49 (1975), 487-494; DOI: https://doi.org/10.1090/S0002-9939-1975-0400183-9; PDF

Semilattices on Peano continua: W. Wiley Williams; Proc. Amer. Math. Soc. 49 (1975), 495-500; DOI: https://doi.org/10.1090/S0002-9939-1975-0383374-5; PDF

A note on Jones’ function $K$: John Rosasco; Proc. Amer. Math. Soc. 49 (1975), 501-504; DOI: https://doi.org/10.1090/S0002-9939-1975-0367946-X; PDF

A local characterization of Darboux $\mathcal {B}$ functions: Richard G. Gibson; Proc. Amer. Math. Soc. 49 (1975), 505-509; DOI: https://doi.org/10.1090/S0002-9939-1975-0367899-4; PDF

Point partition numbers and girth: R. J. Cook; Proc. Amer. Math. Soc. 49 (1975), 510-514; DOI: https://doi.org/10.1090/S0002-9939-1975-0371734-8; PDF

Another proof that weak $n$-homogeneity implies weak $(n-1)$-homogeneity: Prabir Roy; Proc. Amer. Math. Soc. 49 (1975), 515-516; DOI: https://doi.org/10.1090/S0002-9939-1975-0394608-5; PDF

Lemma on measurable cardinals: William G. Fleissner; Proc. Amer. Math. Soc. 49 (1975), 517-518; DOI: https://doi.org/10.1090/S0002-9939-1975-0366669-0; PDF

A real place on the real number field is trivial: Lynn E. Garner; Proc. Amer. Math. Soc. 49 (1975), 519; DOI: https://doi.org/10.1090/S0002-9939-1975-0366883-4; PDF