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 52, Number 1
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The Schnirelmann density of the sums of three squares: Samuel S. Wagstaff; Proc. Amer. Math. Soc. 52 (1975), 1-7; DOI: https://doi.org/10.1090/S0002-9939-1975-0379425-4; PDF

Entireness of the endomorphism rings of one-dimensional formal groups: Jonathan Lubin; Proc. Amer. Math. Soc. 52 (1975), 8-10; DOI: https://doi.org/10.1090/S0002-9939-1975-0374154-5; PDF

A representable functor theorem for compact analytic spaces and applications: Andrew J. Sommese; Proc. Amer. Math. Soc. 52 (1975), 11-17; DOI: https://doi.org/10.1090/S0002-9939-1975-0425190-1; PDF

Sometimes only square matrices can be diagonalized: Lawrence S. Levy; Proc. Amer. Math. Soc. 52 (1975), 18-22; DOI: https://doi.org/10.1090/S0002-9939-1975-0376775-2; PDF

Partitions into specified parts which appear a specified number of times: Elmo Moore; Proc. Amer. Math. Soc. 52 (1975), 23-29; DOI: https://doi.org/10.1090/S0002-9939-1975-0387180-7; PDF

Matrix commutators over an algebraically closed field: P. M. Gibson; Proc. Amer. Math. Soc. 52 (1975), 30-32; DOI: https://doi.org/10.1090/S0002-9939-1975-0412207-3; PDF

A note on Dilworth’s embedding theorem: William T. Trotter; Proc. Amer. Math. Soc. 52 (1975), 33-39; DOI: https://doi.org/10.1090/S0002-9939-1975-0373988-0; PDF

On $k$-free integers with small prime factors: D. G. Hazlewood; Proc. Amer. Math. Soc. 52 (1975), 40-44; DOI: https://doi.org/10.1090/S0002-9939-1975-0374056-4; PDF

Order in a special class of rings and a structure theorem: Alexander Abian; Proc. Amer. Math. Soc. 52 (1975), 45-49; DOI: https://doi.org/10.1090/S0002-9939-1975-0374222-8; PDF

On the solvability of groups of central type: Jay Yellen; Proc. Amer. Math. Soc. 52 (1975), 50-54; DOI: https://doi.org/10.1090/S0002-9939-1975-0374261-7; PDF

An elementary method for estimating error terms in additive number theory: Elmer K. Hayashi; Proc. Amer. Math. Soc. 52 (1975), 55-59; DOI: https://doi.org/10.1090/S0002-9939-1975-0376586-8; PDF

Wildly ramified $Z/2$ actions in dimension two: M. Artin; Proc. Amer. Math. Soc. 52 (1975), 60-64; DOI: https://doi.org/10.1090/S0002-9939-1975-0374136-3; PDF

Nondegenerate higher degree forms over Dedekind domains: D. B. Coleman and Joel Cunningham; Proc. Amer. Math. Soc. 52 (1975), 65-68; DOI: https://doi.org/10.1090/S0002-9939-1975-0392822-6; PDF

On a generalized version of the Nakayama conjecture: Maurice Auslander and Idun Reiten; Proc. Amer. Math. Soc. 52 (1975), 69-74; DOI: https://doi.org/10.1090/S0002-9939-1975-0389977-6; PDF

The automorphism group of the Tits simple group $^{2}F_{4}(2)^{’}$: Robert L. Griess and Richard Lyons; Proc. Amer. Math. Soc. 52 (1975), 75-78; DOI: https://doi.org/10.1090/S0002-9939-1975-0390054-9; PDF

A note on finite groups having a fixed-point-free automorphism: Martin R. Pettet; Proc. Amer. Math. Soc. 52 (1975), 79-80; DOI: https://doi.org/10.1090/S0002-9939-1975-0404442-5; PDF

Reductions of ideals in Prüfer domains: James H. Hays; Proc. Amer. Math. Soc. 52 (1975), 81-84; DOI: https://doi.org/10.1090/S0002-9939-1975-0376655-2; PDF

Certain overrings of right hereditary, right Noetherian rings are $V$-rings: Friedhelm Hansen; Proc. Amer. Math. Soc. 52 (1975), 85-90; DOI: https://doi.org/10.1090/S0002-9939-1975-0376764-8; PDF

Finite unions of ideals and modules: Philip Quartararo and H. S. Butts; Proc. Amer. Math. Soc. 52 (1975), 91-96; DOI: https://doi.org/10.1090/S0002-9939-1975-0382249-5; PDF

Hall subgroups and $p$-solvability: A. Gonçalves and C. Y. Ho; Proc. Amer. Math. Soc. 52 (1975), 97-98; DOI: https://doi.org/10.1090/S0002-9939-1975-0372022-6; PDF

Unimaximal orders: T. V. Fossum; Proc. Amer. Math. Soc. 52 (1975), 99-102; DOI: https://doi.org/10.1090/S0002-9939-1975-0382326-9; PDF

Modules satisfying both chain conditions with respect to a torsion theory: Jonathan S. Golan; Proc. Amer. Math. Soc. 52 (1975), 103-108; DOI: https://doi.org/10.1090/S0002-9939-1975-0429981-2; PDF

On the applications of coalgebras to group algebras: Alan Rosenberg; Proc. Amer. Math. Soc. 52 (1975), 109-112; DOI: https://doi.org/10.1090/S0002-9939-1975-0382331-2; PDF

On maximal torsion radicals. III: John A. Beachy; Proc. Amer. Math. Soc. 52 (1975), 113-116; DOI: https://doi.org/10.1090/S0002-9939-1975-0396685-4; PDF

On the range of a hyponormal derivation: Joseph G. Stampfli; Proc. Amer. Math. Soc. 52 (1975), 117-120; DOI: https://doi.org/10.1090/S0002-9939-1975-0377575-X; PDF

An algorithm for partitions: Melvyn B. Nathanson; Proc. Amer. Math. Soc. 52 (1975), 121-124; DOI: https://doi.org/10.1090/S0002-9939-1975-0379353-4; PDF

When is the maximal ring of quotients projective?: David Handelman; Proc. Amer. Math. Soc. 52 (1975), 125-130; DOI: https://doi.org/10.1090/S0002-9939-1975-0389955-7; PDF

On values of exponential sums: Chungming An; Proc. Amer. Math. Soc. 52 (1975), 131-135; DOI: https://doi.org/10.1090/S0002-9939-1975-0376561-3; PDF

Sum of a double series: B. L. Sharma; Proc. Amer. Math. Soc. 52 (1975), 136-138; DOI: https://doi.org/10.1090/S0002-9939-1975-0387678-1; PDF

A sufficient condition for eventual disconjugacy: William F. Trench; Proc. Amer. Math. Soc. 52 (1975), 139-146; DOI: https://doi.org/10.1090/S0002-9939-1975-0377189-1; PDF

Oscillation properties of perturbed disconjugate equations: William F. Trench; Proc. Amer. Math. Soc. 52 (1975), 147-155; DOI: https://doi.org/10.1090/S0002-9939-1975-0379987-7; PDF

Interpolation by transforms of discrete measures: Louis Pigno and Sadahiro Saeki; Proc. Amer. Math. Soc. 52 (1975), 156-158; DOI: https://doi.org/10.1090/S0002-9939-1975-0377417-2; PDF

An equivalence theorem on generating functions: H. M. Srivastava; Proc. Amer. Math. Soc. 52 (1975), 159-165; DOI: https://doi.org/10.1090/S0002-9939-1975-0379931-2; PDF

Some characterizations of reflexivity: Ivan Singer; Proc. Amer. Math. Soc. 52 (1975), 166-168; DOI: https://doi.org/10.1090/S0002-9939-1975-0511796-8; PDF

Asymptotic behavior and nonoscillation of Volterra integral equations and functional differential equations: A. F. Izé and A. A. Freiria; Proc. Amer. Math. Soc. 52 (1975), 169-177; DOI: https://doi.org/10.1090/S0002-9939-1975-0377233-1; PDF

Relatively uniform Banach lattices: Andrew Wirth; Proc. Amer. Math. Soc. 52 (1975), 178-180; DOI: https://doi.org/10.1090/S0002-9939-1975-0374862-6; PDF

Variational comparison theorem and perturbations of nonlinear systems: G. S. Ladde; Proc. Amer. Math. Soc. 52 (1975), 181-187; DOI: https://doi.org/10.1090/S0002-9939-1975-0372351-6; PDF

On $^{\ast }$-rings satisfying the square root axiom: Shûichirô Maeda; Proc. Amer. Math. Soc. 52 (1975), 188-190; DOI: https://doi.org/10.1090/S0002-9939-1975-0371941-4; PDF

Subordination by convex functions: D. J. Hallenbeck and Stephan Ruscheweyh; Proc. Amer. Math. Soc. 52 (1975), 191-195; DOI: https://doi.org/10.1090/S0002-9939-1975-0374403-3; PDF

A proof of the homeomorphism of Lebesgue-Stieltjes measure with Lebesgue measure: Casper Goffman and George Pedrick; Proc. Amer. Math. Soc. 52 (1975), 196-198; DOI: https://doi.org/10.1090/S0002-9939-1975-0376995-7; PDF

Covariances of generalized processes with orthogonal values: Lewis Pakula; Proc. Amer. Math. Soc. 52 (1975), 199-203; DOI: https://doi.org/10.1090/S0002-9939-1975-0405570-0; PDF

Compactness of sets of integrable functions with values in a Banach space: Atle Seierstad; Proc. Amer. Math. Soc. 52 (1975), 204-208; DOI: https://doi.org/10.1090/S0002-9939-1975-0470676-7; PDF

On the lower order of an entire Dirichlet series: J. P. Singh; Proc. Amer. Math. Soc. 52 (1975), 209-211; DOI: https://doi.org/10.1090/S0002-9939-1975-0374423-9; PDF

A general Hoffman-Wermer theorem for algebras of operator fields: D. C. Taylor; Proc. Amer. Math. Soc. 52 (1975), 212-216; DOI: https://doi.org/10.1090/S0002-9939-1975-0385594-2; PDF

Annular functions in probability: Russell W. Howell; Proc. Amer. Math. Soc. 52 (1975), 217-221; DOI: https://doi.org/10.1090/S0002-9939-1975-0374398-2; PDF

Restrictions of analytic functions. III: Marvin Rosenblum and James Rovnyak; Proc. Amer. Math. Soc. 52 (1975), 222-226; DOI: https://doi.org/10.1090/S0002-9939-1975-0399926-2; PDF

On a theorem of Kōmura-Koshi and of Andô-Ellis: Yau Chuen Wong; Proc. Amer. Math. Soc. 52 (1975), 227-231; DOI: https://doi.org/10.1090/S0002-9939-1975-0377464-0; PDF

Generalized algebraic operators: P. Ghatage; Proc. Amer. Math. Soc. 52 (1975), 232-236; DOI: https://doi.org/10.1090/S0002-9939-1975-0374961-9; PDF

A Carleson measure theorem for Bergman spaces: William W. Hastings; Proc. Amer. Math. Soc. 52 (1975), 237-241; DOI: https://doi.org/10.1090/S0002-9939-1975-0374886-9; PDF

On boundedness of solutions of second order differential equations in the limit circle case: Man Kam Kwong; Proc. Amer. Math. Soc. 52 (1975), 242-246; DOI: https://doi.org/10.1090/S0002-9939-1975-0387710-5; PDF

On the distance between zeroes: William T. Patula; Proc. Amer. Math. Soc. 52 (1975), 247-251; DOI: https://doi.org/10.1090/S0002-9939-1975-0379986-5; PDF

Bounds for nearly best approximations: Rudolf Wegmann; Proc. Amer. Math. Soc. 52 (1975), 252-256; DOI: https://doi.org/10.1090/S0002-9939-1975-0442563-1; PDF

Une caractérisation des ensembles des points de discontinuité des fonctions linéairement-continues: Zbigniew Grande; Proc. Amer. Math. Soc. 52 (1975), 257-262; DOI: https://doi.org/10.1090/S0002-9939-1975-0374349-0; PDF

Quadratic forms in harmonic analysis and the Bochner-Eberlein theorem: Roger A. Horn; Proc. Amer. Math. Soc. 52 (1975), 263-270; DOI: https://doi.org/10.1090/S0002-9939-1975-0374823-7; PDF

Boundary value problems for second order nonhomogeneous differential systems: S. C. Tefteller; Proc. Amer. Math. Soc. 52 (1975), 271-278; DOI: https://doi.org/10.1090/S0002-9939-1975-0402156-9; PDF

Logarithmic means and summability by the circle methods: M. R. Parameswaran; Proc. Amer. Math. Soc. 52 (1975), 279-282; DOI: https://doi.org/10.1090/S0002-9939-1975-0387883-4; PDF

Classifying maps in fiberings of homogeneous bounded domains: Soji Kaneyuki; Proc. Amer. Math. Soc. 52 (1975), 283-288; DOI: https://doi.org/10.1090/S0002-9939-1975-0404714-4; PDF

An approximation theorem of Runge type for the heat equation: B. Frank Jones; Proc. Amer. Math. Soc. 52 (1975), 289-292; DOI: https://doi.org/10.1090/S0002-9939-1975-0387815-9; PDF

On the infinite dimensionality of the Dolbeault cohomology groups: Henry B. Laufer; Proc. Amer. Math. Soc. 52 (1975), 293-296; DOI: https://doi.org/10.1090/S0002-9939-1975-0379887-2; PDF

Analytic Toeplitz operators with automorphic symbol: M. B. Abrahamse; Proc. Amer. Math. Soc. 52 (1975), 297-302; DOI: https://doi.org/10.1090/S0002-9939-1975-0405156-8; PDF

Representation of a crinkled arc: Richard A. Vitale; Proc. Amer. Math. Soc. 52 (1975), 303-304; DOI: https://doi.org/10.1090/S0002-9939-1975-0388056-1; PDF

Intersections of commutants of analytic Toeplitz operators: James E. Thomson; Proc. Amer. Math. Soc. 52 (1975), 305-310; DOI: https://doi.org/10.1090/S0002-9939-1975-0399927-4; PDF

Remarks on a comparison theorem for scalar Riccati equations: C. C. Travis; Proc. Amer. Math. Soc. 52 (1975), 311-314; DOI: https://doi.org/10.1090/S0002-9939-1975-0377188-X; PDF

On functional equations related to Mielnik’s probability spaces: C. F. Blakemore and C. V. Stanojevic; Proc. Amer. Math. Soc. 52 (1975), 315-316; DOI: https://doi.org/10.1090/S0002-9939-1975-0390574-7; PDF

Extremally disconnected sets in groups: Sadahiro Saeki; Proc. Amer. Math. Soc. 52 (1975), 317-318; DOI: https://doi.org/10.1090/S0002-9939-1975-0372541-2; PDF

A factorization theorem in $H^{1}(U^{3})$: Joseph Miles; Proc. Amer. Math. Soc. 52 (1975), 319-322; DOI: https://doi.org/10.1090/S0002-9939-1975-0374459-8; PDF

Weakly completely continuous elements of $C^{\ast }$-algebras: Kari Ylinen; Proc. Amer. Math. Soc. 52 (1975), 323-326; DOI: https://doi.org/10.1090/S0002-9939-1975-0383095-9; PDF

A generalization of Lusin’s theorem: Michael L. Wage; Proc. Amer. Math. Soc. 52 (1975), 327-332; DOI: https://doi.org/10.1090/S0002-9939-1975-0379782-9; PDF

Holomorphic extensions of orthogonal projections into holomorphic functions: J. J. Kohn; Proc. Amer. Math. Soc. 52 (1975), 333-336; DOI: https://doi.org/10.1090/S0002-9939-1975-0399520-3; PDF

A curvature obstruction to covering deformations of connections by metric deformations: Paul E. Ehrlich; Proc. Amer. Math. Soc. 52 (1975), 337-342; DOI: https://doi.org/10.1090/S0002-9939-1975-0383293-4; PDF

A four-vertices theorem for ruled surfaces: P. Jha; Proc. Amer. Math. Soc. 52 (1975), 343-344; DOI: https://doi.org/10.1090/S0002-9939-1975-0375096-1; PDF

On the existence of contact forms: W. P. Thurston and H. E. Winkelnkemper; Proc. Amer. Math. Soc. 52 (1975), 345-347; DOI: https://doi.org/10.1090/S0002-9939-1975-0375366-7; PDF

On a ubiquitous cardinal: Stephen H. Hechler; Proc. Amer. Math. Soc. 52 (1975), 348-352; DOI: https://doi.org/10.1090/S0002-9939-1975-0380705-7; PDF

On $N^{\aleph _{1}}$ and the almost-Lindelöf property: Stephen H. Hechler; Proc. Amer. Math. Soc. 52 (1975), 353-355; DOI: https://doi.org/10.1090/S0002-9939-1975-0380706-9; PDF

$\Pi _{2}^{1}$ sets and $\Pi _{2}^{1}$ singletons: Leo Harrington; Proc. Amer. Math. Soc. 52 (1975), 356-360; DOI: https://doi.org/10.1090/S0002-9939-1975-0373896-5; PDF

On the existence of saturated models of stable theories: Victor Harnik; Proc. Amer. Math. Soc. 52 (1975), 361-367; DOI: https://doi.org/10.1090/S0002-9939-1975-0387043-7; PDF

Construction of the integral closure of a finite integral domain. II: A. Seidenberg; Proc. Amer. Math. Soc. 52 (1975), 368-372; DOI: https://doi.org/10.1090/S0002-9939-1975-0424783-5; PDF

Equivalence of two strong forms of determinacy: Andreas Blass; Proc. Amer. Math. Soc. 52 (1975), 373-376; DOI: https://doi.org/10.1090/S0002-9939-1975-0373903-X; PDF

On likelihood ratios of measures given by Markov chains: R. LePage and V. Mandrekar; Proc. Amer. Math. Soc. 52 (1975), 377-380; DOI: https://doi.org/10.1090/S0002-9939-1975-0380964-0; PDF

Not every minimal Hausdorff space is $e$-compact: R. M. Stephenson; Proc. Amer. Math. Soc. 52 (1975), 381-389; DOI: https://doi.org/10.1090/S0002-9939-1975-0423296-4; PDF

A handlebody with one pillbox has no fake $3$-cells: J. O. Berge and Matthew G. Brin; Proc. Amer. Math. Soc. 52 (1975), 390-392; DOI: https://doi.org/10.1090/S0002-9939-1975-0375317-5; PDF

Quasi-nilpotent sets in semigroups: H. L. Chow; Proc. Amer. Math. Soc. 52 (1975), 393-397; DOI: https://doi.org/10.1090/S0002-9939-1975-0374809-2; PDF

Nielsen numbers of maps of tori: Robin B. S. Brooks, Robert F. Brown, Jingyal Pak and Douglas H. Taylor; Proc. Amer. Math. Soc. 52 (1975), 398-400; DOI: https://doi.org/10.1090/S0002-9939-1975-0375287-X; PDF

On Biesterfeldt’s completion axiom spaces: R. J. Gazik; Proc. Amer. Math. Soc. 52 (1975), 401-405; DOI: https://doi.org/10.1090/S0002-9939-1975-0375201-7; PDF

Codimension of compact $M$-semilattices: J. W. Lea and A. Y. W. Lau; Proc. Amer. Math. Soc. 52 (1975), 406-408; DOI: https://doi.org/10.1090/S0002-9939-1975-0374324-6; PDF

A generalization of absolute retracts: John R. Martin; Proc. Amer. Math. Soc. 52 (1975), 409-413; DOI: https://doi.org/10.1090/S0002-9939-1975-0380720-3; PDF

Extending continuous functions in zero-dimensional spaces: Nancy M. Warren; Proc. Amer. Math. Soc. 52 (1975), 414-416; DOI: https://doi.org/10.1090/S0002-9939-1975-0383340-X; PDF

Characterizations of $C$-compact spaces: Larry L. Herrington and Paul E. Long; Proc. Amer. Math. Soc. 52 (1975), 417-426; DOI: https://doi.org/10.1090/S0002-9939-1975-0388345-0; PDF

Decomposition of tensor products of irreducible unitary representations: Detlev Poguntke; Proc. Amer. Math. Soc. 52 (1975), 427-432; DOI: https://doi.org/10.1090/S0002-9939-1975-0384992-0; PDF

Some nonprojective subgroups of free topological groups: Ronald Brown; Proc. Amer. Math. Soc. 52 (1975), 433-440; DOI: https://doi.org/10.1090/S0002-9939-1975-0393326-7; PDF

On the tautness property of Alexander-Spanier cohomology: Satya Deo; Proc. Amer. Math. Soc. 52 (1975), 441-444; DOI: https://doi.org/10.1090/S0002-9939-1975-0380773-2; PDF

A one dimensional manifold is of cohomological dimension $2$: Satya Deo; Proc. Amer. Math. Soc. 52 (1975), 445-446; DOI: https://doi.org/10.1090/S0002-9939-1975-0394632-2; PDF

Linearization of homeomorphism groups: Su Shing Chen; Proc. Amer. Math. Soc. 52 (1975), 447-450; DOI: https://doi.org/10.1090/S0002-9939-1975-0380842-7; PDF

The fixed point property for homeomorphisms of $1$-arcwise connected continua: Lee Mohler; Proc. Amer. Math. Soc. 52 (1975), 451-456; DOI: https://doi.org/10.1090/S0002-9939-1975-0391064-8; PDF

Nonstratifiable regular quotients of separable stratifiable spaces: Eric K. van Douwen; Proc. Amer. Math. Soc. 52 (1975), 457-460; DOI: https://doi.org/10.1090/S0002-9939-1975-0375247-9; PDF

Classification of homotopy torus knot spaces: Richard S. Stevens; Proc. Amer. Math. Soc. 52 (1975), 461-464; DOI: https://doi.org/10.1090/S0002-9939-1975-0380807-5; PDF

$R_{3}$-quasi-uniform spaces and topological homeomorphism groups: Massood Seyedin; Proc. Amer. Math. Soc. 52 (1975), 465-468; DOI: https://doi.org/10.1090/S0002-9939-1975-0375245-5; PDF

A note on the topolgy of $C$-convergence in hyperspaces: Pedro Morales; Proc. Amer. Math. Soc. 52 (1975), 469-470; DOI: https://doi.org/10.1090/S0002-9939-1975-0375207-8; PDF

Simple knots which are doubly-null-cobordant: C. Kearton; Proc. Amer. Math. Soc. 52 (1975), 471-472; DOI: https://doi.org/10.1090/S0002-9939-1975-0380817-8; PDF

The maps $B\textrm {Sp}(1)\rightarrow B\textrm {Sp}(n)$: Zafer Mahmud; Proc. Amer. Math. Soc. 52 (1975), 473-478; DOI: https://doi.org/10.1090/S0002-9939-1975-0380794-X; PDF

Disk-like products of $\lambda$ connected continua. II: Charles L. Hagopian; Proc. Amer. Math. Soc. 52 (1975), 479-484; DOI: https://doi.org/10.1090/S0002-9939-1975-0494000-9; PDF

Rook theory. I. Rook equivalence of Ferrers boards: Jay R. Goldman, J. T. Joichi and Dennis E. White; Proc. Amer. Math. Soc. 52 (1975), 485-492; DOI: https://doi.org/10.1090/S0002-9939-1975-0429578-4; PDF

A three and five color theorem: Frank R. Bernhart; Proc. Amer. Math. Soc. 52 (1975), 493-498; DOI: https://doi.org/10.1090/S0002-9939-1975-0373944-2; PDF

A note on Tutte’s unimodular representation theorem: Tom Brylawski; Proc. Amer. Math. Soc. 52 (1975), 499-502; DOI: https://doi.org/10.1090/S0002-9939-1975-0419271-6; PDF

Fixed points of antitone mappings: Zahava Shmuely; Proc. Amer. Math. Soc. 52 (1975), 503-505; DOI: https://doi.org/10.1090/S0002-9939-1975-0373982-X; PDF