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 48, Number 2
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$\mathrm {Ext}(A, T)$ as a module over $\mathrm {End}(T)$: S. A. Khabbaz and E. H. Toubassi; Proc. Amer. Math. Soc. 48 (1975), 269-275; DOI: https://doi.org/10.1090/S0002-9939-1975-0360865-4; PDF

A note on the relationship between Weil and Cartier divisors: James Hornell; Proc. Amer. Math. Soc. 48 (1975), 276-280; DOI: https://doi.org/10.1090/S0002-9939-1975-0369360-X; PDF

On consecutive integer solutions for $y^{2}-k=x^{3}$: S. P. Mohanty; Proc. Amer. Math. Soc. 48 (1975), 281-285; DOI: https://doi.org/10.1090/S0002-9939-1975-0357319-8; PDF

Projective maximal right ideals of self-injective rings: O. A. S. Karamzadeh; Proc. Amer. Math. Soc. 48 (1975), 286-288; DOI: https://doi.org/10.1090/S0002-9939-1975-0360705-3; PDF

Linear recurrences and uniform distribution: Melvyn B. Nathanson; Proc. Amer. Math. Soc. 48 (1975), 289-291; DOI: https://doi.org/10.1090/S0002-9939-1975-0364124-5; PDF

Homogeneous Lie algebras and expanding automorphisms: R. Warren Johnson; Proc. Amer. Math. Soc. 48 (1975), 292-296; DOI: https://doi.org/10.1090/S0002-9939-1975-0374217-4; PDF

Rings of equivalent dominant and codominant dimensions: Gary L. Eerkes; Proc. Amer. Math. Soc. 48 (1975), 297-306; DOI: https://doi.org/10.1090/S0002-9939-1975-0360710-7; PDF

The critical set of the reduced norm, as an algebraic set: Don Goelman; Proc. Amer. Math. Soc. 48 (1975), 307-312; DOI: https://doi.org/10.1090/S0002-9939-1975-0364239-1; PDF

Height of operands over monoids satisfying the d.c.c. on orbits: William R. Nico; Proc. Amer. Math. Soc. 48 (1975), 313-320; DOI: https://doi.org/10.1090/S0002-9939-1975-0374290-3; PDF

On the triviality of homogeneous algebras over an algebraically closed field: Lowell Sweet; Proc. Amer. Math. Soc. 48 (1975), 321-324; DOI: https://doi.org/10.1090/S0002-9939-1975-0364382-7; PDF

On the number of coprime solutions of $y^2 = x^3 + k$: N. M. Stephens; Proc. Amer. Math. Soc. 48 (1975), 325-327; DOI: https://doi.org/10.1090/S0002-9939-1975-0357320-4; PDF

Periodic solutions of a system of nonlinear differential equations: Stanisław Sędziwy; Proc. Amer. Math. Soc. 48 (1975), 328-336; DOI: https://doi.org/10.1090/S0002-9939-1975-0357980-8; PDF

Solution of a convergence problem in the theory of $T$-fractions: Rolf M. Hovstad; Proc. Amer. Math. Soc. 48 (1975), 337-343; DOI: https://doi.org/10.1090/S0002-9939-1975-0364612-1; PDF

Spectral properties of some positive operators in a Banach space with the decomposition property: Nazar H. Abdelaziz; Proc. Amer. Math. Soc. 48 (1975), 344-350; DOI: https://doi.org/10.1090/S0002-9939-1975-0358426-6; PDF

Asymptotic behavior of perturbed autonomous linear functional differential equations: Richard B. Evans; Proc. Amer. Math. Soc. 48 (1975), 351-357; DOI: https://doi.org/10.1090/S0002-9939-1975-0369865-1; PDF

A representation of generalized infrapolynomials: Bruce L. Chalmers; Proc. Amer. Math. Soc. 48 (1975), 358-364; DOI: https://doi.org/10.1090/S0002-9939-1975-0372164-5; PDF

Reductive algebras of compact operators: Robert A. Bekes; Proc. Amer. Math. Soc. 48 (1975), 365-370; DOI: https://doi.org/10.1090/S0002-9939-1975-0358381-9; PDF

A geometric characterization of Fréchet spaces with the Radon-Nikodým property: G. Y. H. Chi; Proc. Amer. Math. Soc. 48 (1975), 371-380; DOI: https://doi.org/10.1090/S0002-9939-1975-0357730-5; PDF

Further global nonexistence theorems for abstract nonlinear wave equations: Brian Straughan; Proc. Amer. Math. Soc. 48 (1975), 381-390; DOI: https://doi.org/10.1090/S0002-9939-1975-0365265-9; PDF

Scalar and vector valued premeasures: M. K. Nayak and T. P. Srinivasan; Proc. Amer. Math. Soc. 48 (1975), 391-396; DOI: https://doi.org/10.1090/S0002-9939-1975-0369653-6; PDF

Commutators of singular integrals with $C^{1}$-kernels: E. B. Fabes, W. Littman and N. M. Rivière; Proc. Amer. Math. Soc. 48 (1975), 397-402; DOI: https://doi.org/10.1090/S0002-9939-1975-0377601-8; PDF

A sequence-to-function analogue of the Hausdorff means for double sequences: the $[J,$ $f(x, y)]$ means: Mourad El-Houssieny Ismail; Proc. Amer. Math. Soc. 48 (1975), 403-408; DOI: https://doi.org/10.1090/S0002-9939-1975-0364942-3; PDF

The degree of piecewise monotone interpolation: Eli Passow and Louis Raymon; Proc. Amer. Math. Soc. 48 (1975), 409-412; DOI: https://doi.org/10.1090/S0002-9939-1975-0430608-4; PDF

Genericity of simple eigenvalues for elliptic PDE’s: J. H. Albert; Proc. Amer. Math. Soc. 48 (1975), 413-418; DOI: https://doi.org/10.1090/S0002-9939-1975-0385934-4; PDF

An extended inequality for the maximal function: Richard J. Bagby; Proc. Amer. Math. Soc. 48 (1975), 419-422; DOI: https://doi.org/10.1090/S0002-9939-1975-0370171-X; PDF

Spherical curves and their analogues in affine differential geometry: Erwin Kreyszig and Alois Pendl; Proc. Amer. Math. Soc. 48 (1975), 423-428; DOI: https://doi.org/10.1090/S0002-9939-1975-0365369-0; PDF

$\mathrm {wtt}$-complete sets are not necessarily $\mathrm {tt}$-complete: A. H. Lachlan; Proc. Amer. Math. Soc. 48 (1975), 429-434; DOI: https://doi.org/10.1090/S0002-9939-1975-0357087-X; PDF

A short proof of an existence theorem in constructive measure theory: Y. K. Chan; Proc. Amer. Math. Soc. 48 (1975), 435-437; DOI: https://doi.org/10.1090/S0002-9939-1975-0364590-5; PDF

An extension of the Erdős-Rényi new law of large numbers: Stephen A. Book; Proc. Amer. Math. Soc. 48 (1975), 438-446; DOI: https://doi.org/10.1090/S0002-9939-1975-0380950-0; PDF

Imbedding compact $3$-manifolds in $E^{3}$: Tom Knoblauch; Proc. Amer. Math. Soc. 48 (1975), 447-453; DOI: https://doi.org/10.1090/S0002-9939-1975-0368010-6; PDF

On the products of weakly Lindelöf spaces: A. Hajnal and I. Juhász; Proc. Amer. Math. Soc. 48 (1975), 454-456; DOI: https://doi.org/10.1090/S0002-9939-1975-0391012-0; PDF

Morse-Smale endomorphisms of the circle: Louis Block; Proc. Amer. Math. Soc. 48 (1975), 457-463; DOI: https://doi.org/10.1090/S0002-9939-1975-0413186-5; PDF

Finite-to-one maps and open extensions of maps: J. K. Kohli; Proc. Amer. Math. Soc. 48 (1975), 464-468; DOI: https://doi.org/10.1090/S0002-9939-1975-0370472-5; PDF

Characterizations of $H$-closed spaces: Larry L. Herrington and Paul E. Long; Proc. Amer. Math. Soc. 48 (1975), 469-475; DOI: https://doi.org/10.1090/S0002-9939-1975-0365485-3; PDF

Weak chainability of pseudocones: David P. Bellamy; Proc. Amer. Math. Soc. 48 (1975), 476-478; DOI: https://doi.org/10.1090/S0002-9939-1975-0365515-9; PDF

Lightly compact spaces and infra $H$-closed spaces: Darrell W. Hajek and Aaron R. Todd; Proc. Amer. Math. Soc. 48 (1975), 479-482; DOI: https://doi.org/10.1090/S0002-9939-1975-0370499-3; PDF

The domain rank of a surface is countable: Richard J. Tondra; Proc. Amer. Math. Soc. 48 (1975), 483-490; DOI: https://doi.org/10.1090/S0002-9939-1975-0365574-3; PDF

The Kline 2-sphere characterization—by definition: Richard Slocum; Proc. Amer. Math. Soc. 48 (1975), 491-498; DOI: https://doi.org/10.1090/S0002-9939-1975-0358780-5; PDF

Spaces in which compact sets have countable local bases: Ralph R. Sabella; Proc. Amer. Math. Soc. 48 (1975), 499-504; DOI: https://doi.org/10.1090/S0002-9939-1975-0370522-6; PDF

Normalizing orthogonal polynomials by using their recurrence coefficients: Alan G. Law and M. B. Sledd; Proc. Amer. Math. Soc. 48 (1975), 505-507; DOI: https://doi.org/10.1090/S0002-9939-1975-0364707-2; PDF

$L^{1}_{x}$ is weakly compactly generated if $X$ is: J. Diestel; Proc. Amer. Math. Soc. 48 (1975), 508-510; DOI: https://doi.org/10.1090/S0002-9939-1975-0367651-X; PDF

A new proof of Bernstein’s inequality for Legendre polynomials: V. Marić and M. Tomić; Proc. Amer. Math. Soc. 48 (1975), 511-512; DOI: https://doi.org/10.1090/S0002-9939-1975-0357900-6; PDF

A note on a corollary of Sard’s theorem: John C. Wells; Proc. Amer. Math. Soc. 48 (1975), 513-514; DOI: https://doi.org/10.1090/S0002-9939-1975-0364578-4; PDF

Erratum to: “Restrictions of $L^{p}$ transforms” (Proc. Amer. Math. Soc. 29 (1971), 511–515): Louis Pigno; Proc. Amer. Math. Soc. 48 (1975), 515; DOI: https://doi.org/10.1090/S0002-9939-1975-0370063-6; PDF

Erratum to: “Boundedly holomorphic convex Riemann domain” (Proc. Amer. Math. Soc. 41 (1973), 495–497): Dong S. Kim; Proc. Amer. Math. Soc. 48 (1975), 516; DOI: https://doi.org/10.1090/S0002-9939-1975-0367285-7; PDF

Erratum to: “Transformation groups of automorphisms of $C(X,G)$” (Proc. Amer. Math. Soc. 39 (1973), 619–624): J. S. Yang; Proc. Amer. Math. Soc. 48 (1975), 517; DOI: https://doi.org/10.1090/S0002-9939-1975-0418063-1; PDF

Erratum to “On isomorphic groups and homeomorphic spaces”: J. S. Yang; Proc. Amer. Math. Soc. 48 (1975), 517; DOI: https://doi.org/10.1090/S0002-9939-75-99974-8; PDF

Erratum to: “Asymptotics of Stirling numbers of the second kind” (Proc. Amer. Math. Soc. 42 (1974), 575–580): W. E. Bleick and Peter C. C. Wang; Proc. Amer. Math. Soc. 48 (1975), 518; DOI: https://doi.org/10.1090/S0002-9939-1975-0401490-6; PDF

Erratum to: “Distance spheres in complex projective spaces” (Proc. Amer. Math. Soc. 39 (1973), 649–650): Alan Weinstein; Proc. Amer. Math. Soc. 48 (1975), 519; DOI: https://doi.org/10.1090/S0002-9939-1975-0418005-9; PDF