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)

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Contents of Volume 60, Number 1
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Cohomology of associative triple systems: Renate Carlsson; Proc. Amer. Math. Soc. 60 (1976), 1-7; DOI: https://doi.org/10.1090/S0002-9939-1976-0430026-X; PDF

Semilocal group rings in characteristic zero: John Lawrence and Sheila M. Woods; Proc. Amer. Math. Soc. 60 (1976), 8-10; DOI: https://doi.org/10.1090/S0002-9939-1976-0414617-8; PDF

A note on Green’s relations on the semigroup $N_{n}.$: D. J. Hartfiel, C. J. Maxson and R. J. Plemmons; Proc. Amer. Math. Soc. 60 (1976), 11-15; DOI: https://doi.org/10.1090/S0002-9939-1976-0419655-7; PDF

The ordinary quaternions over a Pythagorean field: Burton Fein and Murray Schacher; Proc. Amer. Math. Soc. 60 (1976), 16-18; DOI: https://doi.org/10.1090/S0002-9939-1976-0417139-3; PDF

A sharp bound for positive solutions of homogeneous linear Diophantine equations: I. Borosh; Proc. Amer. Math. Soc. 60 (1976), 19-21; DOI: https://doi.org/10.1090/S0002-9939-1976-0422300-8; PDF

Universal enveloping algebras with subexponential but not polynomially bounded growth: Martha K. Smith; Proc. Amer. Math. Soc. 60 (1976), 22-24; DOI: https://doi.org/10.1090/S0002-9939-1976-0419534-5; PDF

Injective cogenerator rings and a theorem of Tachikawa: Carl Faith; Proc. Amer. Math. Soc. 60 (1976), 25-30; DOI: https://doi.org/10.1090/S0002-9939-1976-0417237-4; PDF

Pre-self-injective duo rings: Anne Koehler; Proc. Amer. Math. Soc. 60 (1976), 31-34; DOI: https://doi.org/10.1090/S0002-9939-1976-0419527-8; PDF

The dimension of a comparability graph: W. T. Trotter, John I. Moore and David P. Sumner; Proc. Amer. Math. Soc. 60 (1976), 35-38; DOI: https://doi.org/10.1090/S0002-9939-1976-0417001-6; PDF

Inertial subalgebras of central separable algebras: Nicholas S. Ford; Proc. Amer. Math. Soc. 60 (1976), 39-44; DOI: https://doi.org/10.1090/S0002-9939-1976-0414607-5; PDF

Finite generation of class groups of rings of invariants: Andy R. Magid; Proc. Amer. Math. Soc. 60 (1976), 45-48; DOI: https://doi.org/10.1090/S0002-9939-1976-0427306-0; PDF

A characterization of $\mu$-semirings: Margarita Ramalho; Proc. Amer. Math. Soc. 60 (1976), 49-52; DOI: https://doi.org/10.1090/S0002-9939-1976-0419538-2; PDF

An improvement on the upper bound of the nilpotency class of semidirect products of $p$-groups: Larry J. Morley and John D. P. Meldrum; Proc. Amer. Math. Soc. 60 (1976), 53-56; DOI: https://doi.org/10.1090/S0002-9939-1976-0427470-3; PDF

On finite weak and injective dimension: Leo G. Chouinard; Proc. Amer. Math. Soc. 60 (1976), 57-60; DOI: https://doi.org/10.1090/S0002-9939-1976-0417158-7; PDF

Pull-backs of formation projectors: Mark P. Hale; Proc. Amer. Math. Soc. 60 (1976), 61-64; DOI: https://doi.org/10.1090/S0002-9939-1976-0432753-7; PDF

On the fractional parts of $n/j,$ $j=o(n)$: John Isbell and Stephen Schanuel; Proc. Amer. Math. Soc. 60 (1976), 65-67; DOI: https://doi.org/10.1090/S0002-9939-1976-0429796-6; PDF

Necessary and sufficient conditions for $L^{1}$ convergence of trigonometric series: John W. Garrett and Časlav V. Stanojević; Proc. Amer. Math. Soc. 60 (1976), 68-71; DOI: https://doi.org/10.1090/S0002-9939-1976-0425480-3; PDF

On a theorem of Figà-Talamanca: Martin E. Walter; Proc. Amer. Math. Soc. 60 (1976), 72-74; DOI: https://doi.org/10.1090/S0002-9939-1976-0420149-3; PDF

Piecewise linear functions with almost all points eventually periodic: Melvyn B. Nathanson; Proc. Amer. Math. Soc. 60 (1976), 75-81; DOI: https://doi.org/10.1090/S0002-9939-1976-0417351-3; PDF

A simple proof of the Hobby-Rice theorem: Allan Pinkus; Proc. Amer. Math. Soc. 60 (1976), 82-84; DOI: https://doi.org/10.1090/S0002-9939-1976-0425470-0; PDF

A generalization of Anderson’s theorem on unimodal functions: Somesh Das Gupta; Proc. Amer. Math. Soc. 60 (1976), 85-91; DOI: https://doi.org/10.1090/S0002-9939-1976-0425050-7; PDF

A note on Riesz operators: C. K. Chui, P. W. Smith and J. D. Ward; Proc. Amer. Math. Soc. 60 (1976), 92-94; DOI: https://doi.org/10.1090/S0002-9939-1976-0417834-6; PDF

Fixed points of holomorphic maps in Banach spaces: T. L. Hayden and T. J. Suffridge; Proc. Amer. Math. Soc. 60 (1976), 95-105; DOI: https://doi.org/10.1090/S0002-9939-1976-0417869-3; PDF

Moving holomorphic disks off analytic subsets: L. A. Campbell, A. Howard and T. Ochiai; Proc. Amer. Math. Soc. 60 (1976), 106-108; DOI: https://doi.org/10.1090/S0002-9939-1976-0425186-0; PDF

Zero sets and extensions of bounded holomorphic functions in polydiscs: P. S. Chee; Proc. Amer. Math. Soc. 60 (1976), 109-115; DOI: https://doi.org/10.1090/S0002-9939-1976-0422678-5; PDF

The undecidability of a fundamental problem in cluster set theory: J. A. Eidswick; Proc. Amer. Math. Soc. 60 (1976), 116-118; DOI: https://doi.org/10.1090/S0002-9939-1976-0423308-9; PDF

On weak sequential completeness in biprojective tensor product spaces: Leonidas N. Tsitsas; Proc. Amer. Math. Soc. 60 (1976), 119-123; DOI: https://doi.org/10.1090/S0002-9939-1976-0493405-0; PDF

On sigma-ideals of sets: C. G. Mendez; Proc. Amer. Math. Soc. 60 (1976), 124-128; DOI: https://doi.org/10.1090/S0002-9939-1976-0417359-8; PDF

Vanishing solutions of the dissipative acoustic equation in an exterior domain: Daniel A. Bondy; Proc. Amer. Math. Soc. 60 (1976), 129-133; DOI: https://doi.org/10.1090/S0002-9939-1976-0420028-1; PDF

A one-sided summatory function: E. Y. State; Proc. Amer. Math. Soc. 60 (1976), 134-138; DOI: https://doi.org/10.1090/S0002-9939-1976-0422629-3; PDF

The Jordan decomposition of vector-valued measures: B. Faires and T. J. Morrison; Proc. Amer. Math. Soc. 60 (1976), 139-143; DOI: https://doi.org/10.1090/S0002-9939-1976-0419723-X; PDF

A strengthening of centerlessness in Teichmüller theory: Michael Engber; Proc. Amer. Math. Soc. 60 (1976), 144-148; DOI: https://doi.org/10.1090/S0002-9939-1976-0419843-X; PDF

Iterative solution of linear equations in Banach spaces: J. Wayne Pace and W. G. Dotson; Proc. Amer. Math. Soc. 60 (1976), 149-156; DOI: https://doi.org/10.1090/S0002-9939-1976-0423103-0; PDF

Linear generalizations of Gronwall’s inequality: Jagdish Chandra and Paul W. Davis; Proc. Amer. Math. Soc. 60 (1976), 157-160; DOI: https://doi.org/10.1090/S0002-9939-1976-0422735-3; PDF

A factorable Banach algebra with inequivalent regular representation norm: Michael Leinert; Proc. Amer. Math. Soc. 60 (1976), 161-162; DOI: https://doi.org/10.1090/S0002-9939-1976-0420136-5; PDF

An example of a doubly connected domain which admits a quadrature identity: A. L. Levin; Proc. Amer. Math. Soc. 60 (1976), 163-168; DOI: https://doi.org/10.1090/S0002-9939-1976-0419777-0; PDF

On Stieltjes and Van Vleck polynomials: Neyamat Zaheer; Proc. Amer. Math. Soc. 60 (1976), 169-174; DOI: https://doi.org/10.1090/S0002-9939-1976-0419898-2; PDF

The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite dimensional: G. A. Elliott and E. J. Woods; Proc. Amer. Math. Soc. 60 (1976), 175-178; DOI: https://doi.org/10.1090/S0002-9939-1976-0512370-0; PDF

Remarks on some fixed point theorems: Teck Cheong Lim; Proc. Amer. Math. Soc. 60 (1976), 179-182; DOI: https://doi.org/10.1090/S0002-9939-1976-0423139-X; PDF

On the sum of continuous and Darboux functions: J. Smítal; Proc. Amer. Math. Soc. 60 (1976), 183-184; DOI: https://doi.org/10.1090/S0002-9939-1976-0417350-1; PDF

A note on the essential selfadjointness of classical constants of motion: Bent Ørsted; Proc. Amer. Math. Soc. 60 (1976), 185-186; DOI: https://doi.org/10.1090/S0002-9939-1976-0457945-2; PDF

Baire* $1$, Darboux functions: Richard J. O’Malley; Proc. Amer. Math. Soc. 60 (1976), 187-192; DOI: https://doi.org/10.1090/S0002-9939-1976-0417352-5; PDF

Boundary properties of minimal harmonic functions: John T. Kemper; Proc. Amer. Math. Soc. 60 (1976), 193-196; DOI: https://doi.org/10.1090/S0002-9939-1976-0486579-9; PDF

Spectral properties of linear operators for which $T^*T$ and $T$ $+$ $T^*$ commute: Stephen L. Campbell and Ralph Gellar; Proc. Amer. Math. Soc. 60 (1976), 197-202; DOI: https://doi.org/10.1090/S0002-9939-1976-0417841-3; PDF

Nonexistence of best alternating approximations on subsets: Charles B. Dunham; Proc. Amer. Math. Soc. 60 (1976), 203-206; DOI: https://doi.org/10.1090/S0002-9939-1976-0417643-8; PDF

Uniqueness in the Schauder fixed point theorem: R. B. Kellogg; Proc. Amer. Math. Soc. 60 (1976), 207-210; DOI: https://doi.org/10.1090/S0002-9939-1976-0423137-6; PDF

A class of regular matrices: Godfrey L. Isaacs; Proc. Amer. Math. Soc. 60 (1976), 211-214; DOI: https://doi.org/10.1090/S0002-9939-1976-0430589-4; PDF

Convolutions of continuous measures and sets of nonsynthesis: Sadahiro Saeki; Proc. Amer. Math. Soc. 60 (1976), 215-220; DOI: https://doi.org/10.1090/S0002-9939-1976-0430680-2; PDF

On homoclinic points: S. Newhouse; Proc. Amer. Math. Soc. 60 (1976), 221-224; DOI: https://doi.org/10.1090/S0002-9939-1976-0418169-8; PDF

Convexity of integral means of subharmonic functions: Jang Mei G. Wu; Proc. Amer. Math. Soc. 60 (1976), 225-230; DOI: https://doi.org/10.1090/S0002-9939-1976-0427654-4; PDF

Principal ideals in $F$-algebras: James M. Briggs; Proc. Amer. Math. Soc. 60 (1976), 231-234; DOI: https://doi.org/10.1090/S0002-9939-1976-0423085-1; PDF

Essential selfadjointness of certain partial differential operators on $R^{n}$: A. Devinatz; Proc. Amer. Math. Soc. 60 (1976), 235-242; DOI: https://doi.org/10.1090/S0002-9939-1976-0447830-4; PDF

Addendum to: “Arithmetic means of Fourier coefficients” (Proc. Amer. Math. Soc. 55 (1976), no. 1, 83–86): Rajendra Sinha; Proc. Amer. Math. Soc. 60 (1976), 243-244; DOI: https://doi.org/10.1090/S0002-9939-1976-0420109-2; PDF

Existence of $p$-equilibrium and optimal stationary strategies in stochastic games: C. J. Himmelberg, T. Parthasarathy, T. E. S. Raghavan and F. S. Van Vleck; Proc. Amer. Math. Soc. 60 (1976), 245-251; DOI: https://doi.org/10.1090/S0002-9939-1976-0418931-1; PDF

An elementary proof of a finite rigidity problem by infinitesimal rigidity methods: Edgar Kann; Proc. Amer. Math. Soc. 60 (1976), 252-258; DOI: https://doi.org/10.1090/S0002-9939-1976-0420518-1; PDF

Eigenvalues of Hopf manifolds: Eric Bedford and Tatsuo Suwa; Proc. Amer. Math. Soc. 60 (1976), 259-264; DOI: https://doi.org/10.1090/S0002-9939-1976-0418172-8; PDF

Reduction of systems of linear equations in ordinal variables: J. L. Hickman; Proc. Amer. Math. Soc. 60 (1976), 265-269; DOI: https://doi.org/10.1090/S0002-9939-1976-0419239-0; PDF

A reducibility condition for recursiveness: Paul H. Morris; Proc. Amer. Math. Soc. 60 (1976), 270-272; DOI: https://doi.org/10.1090/S0002-9939-1976-0416880-6; PDF

A simple proof of a theorem of Chacon: Robert Chen; Proc. Amer. Math. Soc. 60 (1976), 273-275; DOI: https://doi.org/10.1090/S0002-9939-1976-0420828-8; PDF

Induction on symmetric axial maps and embeddings of projective spaces: A. J. Berrick; Proc. Amer. Math. Soc. 60 (1976), 276-278; DOI: https://doi.org/10.1090/S0002-9939-1976-0420661-7; PDF

Classification of spaces of the same $n$-type for all $n$: Clarence Wilkerson; Proc. Amer. Math. Soc. 60 (1976), 279-285; DOI: https://doi.org/10.1090/S0002-9939-1976-0474283-2; PDF

Monotone and open mappings onto $ANR’s$: John J. Walsh; Proc. Amer. Math. Soc. 60 (1976), 286-288; DOI: https://doi.org/10.1090/S0002-9939-1976-0425888-6; PDF

Partial differential equations on semisimple Lie groups: Kenneth D. Johnson; Proc. Amer. Math. Soc. 60 (1976), 289-295; DOI: https://doi.org/10.1090/S0002-9939-1976-0425016-7; PDF

Surgery on knots: W. B. Raymond Lickorish; Proc. Amer. Math. Soc. 60 (1976), 296-298; DOI: https://doi.org/10.1090/S0002-9939-1976-0488060-X; PDF

On fixed-point free fibrewise maps of projective bundles: David Handel; Proc. Amer. Math. Soc. 60 (1976), 299-303; DOI: https://doi.org/10.1090/S0002-9939-1976-0436141-9; PDF

Some nowhere equicontinuous homeomorphisms: Ki Woong Kim; Proc. Amer. Math. Soc. 60 (1976), 304-308; DOI: https://doi.org/10.1090/S0002-9939-1976-0423391-0; PDF

Abstract $\omega$-limit sets, chain recurrent sets, and basic sets for flows: John E. Franke and James F. Selgrade; Proc. Amer. Math. Soc. 60 (1976), 309-316; DOI: https://doi.org/10.1090/S0002-9939-1976-0423423-X; PDF

Heegaard splittings and a theorem of Livesay: J. H. Rubinstein; Proc. Amer. Math. Soc. 60 (1976), 317-320; DOI: https://doi.org/10.1090/S0002-9939-1976-0420625-3; PDF

On $H$-closed and minimal Hausdorff spaces: James E. Joseph; Proc. Amer. Math. Soc. 60 (1976), 321-326; DOI: https://doi.org/10.1090/S0002-9939-1976-0425902-8; PDF

Unknotting links in $S^{3}$ by maps: Howard Lambert; Proc. Amer. Math. Soc. 60 (1976), 327-330; DOI: https://doi.org/10.1090/S0002-9939-1976-0420624-1; PDF

Continuous mappings from Cantor spaces onto inverse limit spectra: Alan H. Schoenfeld; Proc. Amer. Math. Soc. 60 (1976), 331-334; DOI: https://doi.org/10.1090/S0002-9939-1976-0420537-5; PDF

$S$-closed spaces: Travis Thompson; Proc. Amer. Math. Soc. 60 (1976), 335-338; DOI: https://doi.org/10.1090/S0002-9939-1976-0425899-0; PDF

Compressible maps: Jay E. Goldfeather; Proc. Amer. Math. Soc. 60 (1976), 339-342; DOI: https://doi.org/10.1090/S0002-9939-1976-0423339-9; PDF

Continuous actions of compact Lie groups on Riemannian manifolds: David Hoffman and L. N. Mann; Proc. Amer. Math. Soc. 60 (1976), 343-348; DOI: https://doi.org/10.1090/S0002-9939-1976-0423386-7; PDF

Some remarks about symmetric functions: Edgar H. Brown and Franklin P. Peterson; Proc. Amer. Math. Soc. 60 (1976), 349-352; DOI: https://doi.org/10.1090/S0002-9939-1976-0433465-6; PDF

The diameter of the graph of a semiring: Anastase Nakassis; Proc. Amer. Math. Soc. 60 (1976), 353-359; DOI: https://doi.org/10.1090/S0002-9939-1976-0427162-0; PDF

Three identities between Stirling numbers and the stabilizing character sequence: Michael Gilpin; Proc. Amer. Math. Soc. 60 (1976), 360-364; DOI: https://doi.org/10.1090/S0002-9939-1976-0414376-9; PDF

Fixed points and partial orders: Arne Brøndsted; Proc. Amer. Math. Soc. 60 (1976), 365-366; DOI: https://doi.org/10.1090/S0002-9939-1976-0417867-X; PDF

Invariance of domain in Banach spaces: Nishan Krikorian; Proc. Amer. Math. Soc. 60 (1976), 367-368; DOI: https://doi.org/10.1090/S0002-9939-1976-0426017-5; PDF

New proof of a density theorem for the boundary of a closed set: Peter Volkmann; Proc. Amer. Math. Soc. 60 (1976), 369-370; DOI: https://doi.org/10.1090/S0002-9939-1976-0435805-0; PDF

Another proof of doubly invariant subspace theorem: Takahiko Nakazi; Proc. Amer. Math. Soc. 60 (1976), 371-372; DOI: https://doi.org/10.1090/S0002-9939-1976-0417790-0; PDF

On the space of functions without discontinuities of the second kind: L. Š. Grinblat; Proc. Amer. Math. Soc. 60 (1976), 373-375; DOI: https://doi.org/10.1090/S0002-9939-1976-0423313-2; PDF

Erratum to: “On the automorphism group of a Lie group” (Proc. Amer. Math. Soc. 45 (1974), 140–143): David Wigner; Proc. Amer. Math. Soc. 60 (1976), 376; DOI: https://doi.org/10.1090/S0002-9939-1976-0414783-4; PDF

Erratum to: “A generalization of the Rudin-Carleson theorem” (Proc. Amer. Math. Soc. 43 (1974), 341–344): Per Hag; Proc. Amer. Math. Soc. 60 (1976), 377; DOI: https://doi.org/10.1090/S0002-9939-1976-0415325-X; PDF