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 35, Number 1
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The finiteness of $I$ when $R[X]/I$ is $R$-flat. II: William Heinzer and Jack Ohm; Proc. Amer. Math. Soc. 35 (1972), 1-8; DOI: https://doi.org/10.1090/S0002-9939-1972-0306177-3; PDF

An application of the algebra of differentials of infinite rank: William C. Brown; Proc. Amer. Math. Soc. 35 (1972), 9-15; DOI: https://doi.org/10.1090/S0002-9939-1972-0300999-0; PDF

Quotient rings of endomorphism rings of modules with zero singular submodule: John Hutchinson and Julius Zelmanowitz; Proc. Amer. Math. Soc. 35 (1972), 16-20; DOI: https://doi.org/10.1090/S0002-9939-1972-0297805-X; PDF

The probability of connectedness of an unlabelled graph can be less for more edges: E. M. Wright; Proc. Amer. Math. Soc. 35 (1972), 21-25; DOI: https://doi.org/10.1090/S0002-9939-1972-0295954-3; PDF

On an induction theorem for relative Grothendieck groups: William H. Gustafson; Proc. Amer. Math. Soc. 35 (1972), 26-30; DOI: https://doi.org/10.1090/S0002-9939-1972-0297891-7; PDF

Isomorphism types of infinite symmetric graphs: C. M. Bang; Proc. Amer. Math. Soc. 35 (1972), 31-33; DOI: https://doi.org/10.1090/S0002-9939-1972-0295944-0; PDF

An improved upper bound for global dimension of semigroup algebras: William R. Nico; Proc. Amer. Math. Soc. 35 (1972), 34-36; DOI: https://doi.org/10.1090/S0002-9939-1972-0296182-8; PDF

The epimorphic images of a Dedekind domain: T. Cheatham and E. Enochs; Proc. Amer. Math. Soc. 35 (1972), 37-42; DOI: https://doi.org/10.1090/S0002-9939-1972-0302640-X; PDF

Quasi-cotripleable categories: Robert C. Davis; Proc. Amer. Math. Soc. 35 (1972), 43-48; DOI: https://doi.org/10.1090/S0002-9939-1972-0316531-1; PDF

A counterexample to an analogue of Artin’s conjecture: P. J. Weinberger; Proc. Amer. Math. Soc. 35 (1972), 49-52; DOI: https://doi.org/10.1090/S0002-9939-1972-0299582-5; PDF

Operators associated with a pair of nonnegative matrices: Gerald E. Suchan; Proc. Amer. Math. Soc. 35 (1972), 53-54; DOI: https://doi.org/10.1090/S0002-9939-1972-0296092-6; PDF

Ideals generated by three elements: Peter Kohn; Proc. Amer. Math. Soc. 35 (1972), 55-58; DOI: https://doi.org/10.1090/S0002-9939-1972-0296064-1; PDF

Zeros of $\zeta ^{’} (s)$ in the critical strip: Robert Spira; Proc. Amer. Math. Soc. 35 (1972), 59-60; DOI: https://doi.org/10.1090/S0002-9939-1972-0296035-5; PDF

A finitely presented metabelian group with a free abelian derived group of infinite rank: Gilbert Baumslag; Proc. Amer. Math. Soc. 35 (1972), 61-62; DOI: https://doi.org/10.1090/S0002-9939-1972-0299662-4; PDF

Two observations on the congruence extension property: G. Grätzer and H. Lakser; Proc. Amer. Math. Soc. 35 (1972), 63-64; DOI: https://doi.org/10.1090/S0002-9939-1972-0297677-3; PDF

Tensor products of quaternion algebras: A. A. Albert; Proc. Amer. Math. Soc. 35 (1972), 65-66; DOI: https://doi.org/10.1090/S0002-9939-1972-0297803-6; PDF

Extremal problems for certain classes of analytic functions: Louis Brickman; Proc. Amer. Math. Soc. 35 (1972), 67-73; DOI: https://doi.org/10.1090/S0002-9939-1972-0308386-6; PDF

The Fourier transform of an unbounded spectral distribution: Brian Kritt; Proc. Amer. Math. Soc. 35 (1972), 74-80; DOI: https://doi.org/10.1090/S0002-9939-1972-0296731-X; PDF

Noncoincidence of the strict and strong operator topologies: Joel H. Shapiro; Proc. Amer. Math. Soc. 35 (1972), 81-87; DOI: https://doi.org/10.1090/S0002-9939-1972-0306878-7; PDF

On the range of a coercive maximal monotone operator in a nonreflexive Banach space: Jean-Pierre Gossez; Proc. Amer. Math. Soc. 35 (1972), 88-92; DOI: https://doi.org/10.1090/S0002-9939-1972-0298492-7; PDF

Integral as a certain type of a positive definite function: Parfeny P. Saworotnow; Proc. Amer. Math. Soc. 35 (1972), 93-95; DOI: https://doi.org/10.1090/S0002-9939-1972-0298430-7; PDF

A generalization of two inequalities involving means: Scott Lawrence and Daniel Segalman; Proc. Amer. Math. Soc. 35 (1972), 96-100; DOI: https://doi.org/10.1090/S0002-9939-1972-0304586-X; PDF

The numerical range of a Toeplitz operator: E. M. Klein; Proc. Amer. Math. Soc. 35 (1972), 101-103; DOI: https://doi.org/10.1090/S0002-9939-1972-0296725-4; PDF

Nonfactorization in subsets of the measure algebra: J. T. Burnham; Proc. Amer. Math. Soc. 35 (1972), 104-106; DOI: https://doi.org/10.1090/S0002-9939-1972-0298342-9; PDF

Perturbed asymptotically stable sets: Roger C. McCann; Proc. Amer. Math. Soc. 35 (1972), 107-111; DOI: https://doi.org/10.1090/S0002-9939-1972-0296447-X; PDF

Total stability in nondifferentiable systems: Roger C. McCann; Proc. Amer. Math. Soc. 35 (1972), 112-116; DOI: https://doi.org/10.1090/S0002-9939-1972-0301720-2; PDF

Second order almost linear functional differential equations—oscillation: Hugo Teufel; Proc. Amer. Math. Soc. 35 (1972), 117-119; DOI: https://doi.org/10.1090/S0002-9939-1972-0303050-1; PDF

The existence of oscillatory solutions for the equation $d^{2}y/dt^{2}+q(t)y^{r}=0, 0<r<1$: Kuo Liang Chiou; Proc. Amer. Math. Soc. 35 (1972), 120-122; DOI: https://doi.org/10.1090/S0002-9939-1972-0301292-2; PDF

On the Laplace transform of a temperate distribution supported by a cone: Bent E. Petersen; Proc. Amer. Math. Soc. 35 (1972), 123-128; DOI: https://doi.org/10.1090/S0002-9939-1972-0298414-9; PDF

Existence of solutions of abstract measure differential equations: R. R. Sharma; Proc. Amer. Math. Soc. 35 (1972), 129-136; DOI: https://doi.org/10.1090/S0002-9939-1972-0304811-5; PDF

On the length of gaps in the essential spectrum of a generalised Dirac operator: W. D. Evans; Proc. Amer. Math. Soc. 35 (1972), 137-146; DOI: https://doi.org/10.1090/S0002-9939-1972-0306599-0; PDF

A random Trotter product formula: Thomas G. Kurtz; Proc. Amer. Math. Soc. 35 (1972), 147-154; DOI: https://doi.org/10.1090/S0002-9939-1972-0303347-5; PDF

Boundary zero sets of $A^\infty$ functions satisfying growth conditions: B. A. Taylor and D. L. Williams; Proc. Amer. Math. Soc. 35 (1972), 155-160; DOI: https://doi.org/10.1090/S0002-9939-1972-0310253-9; PDF

Sparse subsets of orthonormal systems: J. J. Price; Proc. Amer. Math. Soc. 35 (1972), 161-164; DOI: https://doi.org/10.1090/S0002-9939-1972-0301439-8; PDF

A nonlinear complementarity problem in mathematical programming in Banach space: M. S. Bazaraa, J. J. Goode and M. Z. Nashed; Proc. Amer. Math. Soc. 35 (1972), 165-170; DOI: https://doi.org/10.1090/S0002-9939-1972-0300163-5; PDF

A fixed point theorem for asymptotically nonexpansive mappings: K. Goebel and W. A. Kirk; Proc. Amer. Math. Soc. 35 (1972), 171-174; DOI: https://doi.org/10.1090/S0002-9939-1972-0298500-3; PDF

Nonexistence of asymptotic observables: James S. Howland; Proc. Amer. Math. Soc. 35 (1972), 175-176; DOI: https://doi.org/10.1090/S0002-9939-1972-0300133-7; PDF

On a general ratio ergodic theorem with weighted averages: Ryōtarō Satō; Proc. Amer. Math. Soc. 35 (1972), 177-178; DOI: https://doi.org/10.1090/S0002-9939-1972-0303317-7; PDF

The Teichmüller spaces are distinct: David B. Patterson; Proc. Amer. Math. Soc. 35 (1972), 179-182; DOI: https://doi.org/10.1090/S0002-9939-1972-0299774-5; PDF

Existence of a seminormal basis in $C[0, 1]$: Sherwood Samn; Proc. Amer. Math. Soc. 35 (1972), 183-186; DOI: https://doi.org/10.1090/S0002-9939-1972-0298404-6; PDF

Eventual disconjugacy of selfadjoint fourth order linear differential equations: G. B. Gustafson; Proc. Amer. Math. Soc. 35 (1972), 187-192; DOI: https://doi.org/10.1090/S0002-9939-1972-0298126-1; PDF

Applications of Laplace transforms and their inverses: Charles Fox; Proc. Amer. Math. Soc. 35 (1972), 193-200; DOI: https://doi.org/10.1090/S0002-9939-1972-0300017-4; PDF

The analytic properties of $G_{2n}$ spaces: Donald O. Koehler; Proc. Amer. Math. Soc. 35 (1972), 201-206; DOI: https://doi.org/10.1090/S0002-9939-1972-0301486-6; PDF

The radius of close-to-convexity of functions of bounded boundary rotation: H. B. Coonce and M. R. Ziegler; Proc. Amer. Math. Soc. 35 (1972), 207-210; DOI: https://doi.org/10.1090/S0002-9939-1972-0296274-3; PDF

Functions with real part greater than $\alpha$: Carl P. McCarty; Proc. Amer. Math. Soc. 35 (1972), 211-216; DOI: https://doi.org/10.1090/S0002-9939-1972-0298014-0; PDF

On the location of zeros of second-order differential equations: Vadim Komkov; Proc. Amer. Math. Soc. 35 (1972), 217-222; DOI: https://doi.org/10.1090/S0002-9939-1972-0298128-5; PDF

Continuum embedded eigenvalues in a spatially cutoff $P(\phi )_{2}$ field theory: Barry Simon; Proc. Amer. Math. Soc. 35 (1972), 223-226; DOI: https://doi.org/10.1090/S0002-9939-1972-0297265-9; PDF

Error bounds for Galerkin’s method for monotone operator equations: Martin H. Schultz; Proc. Amer. Math. Soc. 35 (1972), 227-229; DOI: https://doi.org/10.1090/S0002-9939-1972-0297123-X; PDF

Closed convex hypersurfaces with second fundamental form of constant curvature: Rolf Schneider; Proc. Amer. Math. Soc. 35 (1972), 230-233; DOI: https://doi.org/10.1090/S0002-9939-1972-0307133-1; PDF

On an integral formula for closed hypersurfaces of the sphere: Chorng-shi Houh; Proc. Amer. Math. Soc. 35 (1972), 234-237; DOI: https://doi.org/10.1090/S0002-9939-1972-0296867-3; PDF

On convex subsets of a polytope: W. R. Hare and C. R. Smith; Proc. Amer. Math. Soc. 35 (1972), 238-239; DOI: https://doi.org/10.1090/S0002-9939-1972-0301633-6; PDF

On closed curves in Minkowski spaces: H. S. Witsenhausen; Proc. Amer. Math. Soc. 35 (1972), 240-241; DOI: https://doi.org/10.1090/S0002-9939-1972-0296880-6; PDF

Ordinal sum-sets: Martin M. Zuckerman; Proc. Amer. Math. Soc. 35 (1972), 242-248; DOI: https://doi.org/10.1090/S0002-9939-1972-0314626-X; PDF

Weak partition relations: Andreas Blass; Proc. Amer. Math. Soc. 35 (1972), 249-253; DOI: https://doi.org/10.1090/S0002-9939-1972-0297576-7; PDF

Contractible Hilbert cube manifolds: T. A. Chapman; Proc. Amer. Math. Soc. 35 (1972), 254-258; DOI: https://doi.org/10.1090/S0002-9939-1972-0300313-0; PDF

Map bordism of maps: R. E. Stong; Proc. Amer. Math. Soc. 35 (1972), 259-262; DOI: https://doi.org/10.1090/S0002-9939-1972-0307223-3; PDF

The Whitney technique for Poincaré complex embeddings: J. P. E. Hodgson; Proc. Amer. Math. Soc. 35 (1972), 263-268; DOI: https://doi.org/10.1090/S0002-9939-1972-0303543-7; PDF

Metrization of symmetric spaces and regular maps: Harold W. Martin; Proc. Amer. Math. Soc. 35 (1972), 269-274; DOI: https://doi.org/10.1090/S0002-9939-1972-0303511-5; PDF

Compact spaces and products of finite spaces: Douglas Harris; Proc. Amer. Math. Soc. 35 (1972), 275-280; DOI: https://doi.org/10.1090/S0002-9939-1972-0298622-7; PDF

Another locally connected Hausdorff continuum not connected by ordered continua: J. L. Cornette and B. Lehman; Proc. Amer. Math. Soc. 35 (1972), 281-284; DOI: https://doi.org/10.1090/S0002-9939-1972-0307200-2; PDF

The topological complementation theorem à la Zorn: Paul S. Schnare; Proc. Amer. Math. Soc. 35 (1972), 285-286; DOI: https://doi.org/10.1090/S0002-9939-1972-0296884-3; PDF

Simply-connected branched coverings of $S^{3}$: C. McA. Gordon and W. Heil; Proc. Amer. Math. Soc. 35 (1972), 287-288; DOI: https://doi.org/10.1090/S0002-9939-1972-0296930-7; PDF

A countable connected Urysohn space containing a dispersion point: V. Kannan; Proc. Amer. Math. Soc. 35 (1972), 289-290; DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3; PDF

Euclidean neighborhoods in compact semigroups: John D. McCharen; Proc. Amer. Math. Soc. 35 (1972), 291-295; DOI: https://doi.org/10.1090/S0002-9939-1972-0301131-X; PDF

On a theorem of Rudin: Donald R. Chalice; Proc. Amer. Math. Soc. 35 (1972), 296-297; DOI: https://doi.org/10.1090/S0002-9939-1972-0298425-3; PDF

On semibounded differential operators: Harry Hochstadt; Proc. Amer. Math. Soc. 35 (1972), 298-300; DOI: https://doi.org/10.1090/S0002-9939-1972-0308858-4; PDF

A factorable weight with zero Szegö infimum: Berrien Moore; Proc. Amer. Math. Soc. 35 (1972), 301-302; DOI: https://doi.org/10.1090/S0002-9939-1972-0322573-2; PDF

A note on some characterizations of Sidon sets: Ron C. Blei; Proc. Amer. Math. Soc. 35 (1972), 303-304; DOI: https://doi.org/10.1090/S0002-9939-1972-0303219-6; PDF

A note on the compact elements of $C^{\ast }$-algebras: Kari Ylinen; Proc. Amer. Math. Soc. 35 (1972), 305-306; DOI: https://doi.org/10.1090/S0002-9939-1972-0296716-3; PDF

Nonnegative matrices with nonnegative inverses: Ralph DeMarr; Proc. Amer. Math. Soc. 35 (1972), 307-308; DOI: https://doi.org/10.1090/S0002-9939-1972-0296089-6; PDF