Proceedings of the American Mathematical Society

Contents of Volume 33, Number 2
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Unique factorization in partially ordered sets

Jorge Martinez

Proc. Amer. Math. Soc. 33 (1972), 213-220

DOI: https://doi.org/10.1090/S0002-9939-1972-0292723-5

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On the ring of quotients of a group ring

D. S. Passman

Proc. Amer. Math. Soc. 33 (1972), 221-225

DOI: https://doi.org/10.1090/S0002-9939-1972-0299634-X

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A stronger Bertrand’s postulate with an application to partitions

Robert E. Dressler

Proc. Amer. Math. Soc. 33 (1972), 226-228

DOI: https://doi.org/10.1090/S0002-9939-1972-0292746-6

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On polynomials which commute with a given polynomial

William M. Boyce

Proc. Amer. Math. Soc. 33 (1972), 229-234

DOI: https://doi.org/10.1090/S0002-9939-1972-0291138-3

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Rings whose quasi-injective modules are injective

K. A. Byrd

Proc. Amer. Math. Soc. 33 (1972), 235-240

DOI: https://doi.org/10.1090/S0002-9939-1972-0310009-7

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Balanced colourings and the four colour conjecture

J. A. Bondy

Proc. Amer. Math. Soc. 33 (1972), 241-244

DOI: https://doi.org/10.1090/S0002-9939-1972-0294173-4

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A lower bound for the permanent of a $(0, 1)$-matrix

P. M. Gibson

Proc. Amer. Math. Soc. 33 (1972), 245-246

DOI: https://doi.org/10.1090/S0002-9939-1972-0294360-5

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More properties inherited by the lower radical

R. F. Rossa

Proc. Amer. Math. Soc. 33 (1972), 247-249

DOI: https://doi.org/10.1090/S0002-9939-1972-0296117-8

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Integrally closed and complete ordered quasigroups and loops

Phillip A. Hartman

Proc. Amer. Math. Soc. 33 (1972), 250-256

DOI: https://doi.org/10.1090/S0002-9939-1972-0295985-3

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Coalgebras, sheaves, and cohomology

D. H. Van Osdol

Proc. Amer. Math. Soc. 33 (1972), 257-263

DOI: https://doi.org/10.1090/S0002-9939-1972-0294447-7

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Rings with involution whose symmetric elements are regular

Charles Lanski

Proc. Amer. Math. Soc. 33 (1972), 264-270

DOI: https://doi.org/10.1090/S0002-9939-1972-0292889-7

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Categorical semigroups

F. R. McMorris and M. Satyanarayana

Proc. Amer. Math. Soc. 33 (1972), 271-277

DOI: https://doi.org/10.1090/S0002-9939-1972-0292980-5

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The graph extension theorem

Ernest Shult

Proc. Amer. Math. Soc. 33 (1972), 278-284

DOI: https://doi.org/10.1090/S0002-9939-1972-0294477-5

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An ideal criterion for torsion freeness

Mark Bridger

Proc. Amer. Math. Soc. 33 (1972), 285-291

DOI: https://doi.org/10.1090/S0002-9939-1972-0301001-7

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On perfect subfields over which a field is separably generated

David Jacobson

Proc. Amer. Math. Soc. 33 (1972), 292-296

DOI: https://doi.org/10.1090/S0002-9939-1972-0294304-6

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On one-relator groups having elements of finite order

J. Fischer, A. Karrass and D. Solitar

Proc. Amer. Math. Soc. 33 (1972), 297-301

DOI: https://doi.org/10.1090/S0002-9939-1972-0311780-0

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Hereditary radicals in Jordan rings

Robert Lewand

Proc. Amer. Math. Soc. 33 (1972), 302-306

DOI: https://doi.org/10.1090/S0002-9939-1972-0294430-1

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Note on the projective limit on small categories

Olav Arnfinn Laudal

Proc. Amer. Math. Soc. 33 (1972), 307-309

DOI: https://doi.org/10.1090/S0002-9939-1972-0291241-8

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Finite group schemes over fields

Raymond T. Hoobler and Andy R. Magid

Proc. Amer. Math. Soc. 33 (1972), 310-312

DOI: https://doi.org/10.1090/S0002-9939-1972-0291254-6

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Regular rings and integral extension of a regular ring

Edward T. Wong

Proc. Amer. Math. Soc. 33 (1972), 313-315

DOI: https://doi.org/10.1090/S0002-9939-1972-0294405-2

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On $\mathcal {F}$-abnormal maximal subgroups of a finite solvable group

Paul Venzke

Proc. Amer. Math. Soc. 33 (1972), 316-318

DOI: https://doi.org/10.1090/S0002-9939-1972-0291290-X

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Implicative homomorphisms with finite ranges

William C. Nemitz

Proc. Amer. Math. Soc. 33 (1972), 319-322

DOI: https://doi.org/10.1090/S0002-9939-1972-0307992-2

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On the radical of the group algebra of a $p$-group over a modular field

Gail L. Carns and Chong-yun Chao

Proc. Amer. Math. Soc. 33 (1972), 323-328

DOI: https://doi.org/10.1090/S0002-9939-1972-0294521-5

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The conjugacy problem for the group of any tame alternating knot is solvable

K. I. Appel and P. E. Schupp

Proc. Amer. Math. Soc. 33 (1972), 329-336

DOI: https://doi.org/10.1090/S0002-9939-1972-0294460-X

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Normally closed saturated formations

Mark P. Hale

Proc. Amer. Math. Soc. 33 (1972), 337-342

DOI: https://doi.org/10.1090/S0002-9939-1972-0291271-6

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On meromorphic functions commuting with elements of a function group

John Roderick Smart

Proc. Amer. Math. Soc. 33 (1972), 343-348

DOI: https://doi.org/10.1090/S0002-9939-1972-0293086-1

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Projecting $C(S)$ onto $C_{0}(S)$

H. Banilower

Proc. Amer. Math. Soc. 33 (1972), 349-354

DOI: https://doi.org/10.1090/S0002-9939-1972-0295062-1

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Common fixed point theorems for almost weakly periodic nonexpansive mappings

Kok Keong Tan

Proc. Amer. Math. Soc. 33 (1972), 355-360

DOI: https://doi.org/10.1090/S0002-9939-1972-0295169-9

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Annihilator ideals in the cohomology of Banach algebras

A. M. Sinclair

Proc. Amer. Math. Soc. 33 (1972), 361-366

DOI: https://doi.org/10.1090/S0002-9939-1972-0295096-7

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Asymptotic estimates of the $n$-widths in Hilbert space

Joseph W. Jerome

Proc. Amer. Math. Soc. 33 (1972), 367-372

DOI: https://doi.org/10.1090/S0002-9939-1972-0296583-8

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Compact multilinear transformations

Nishan Krikorian

Proc. Amer. Math. Soc. 33 (1972), 373-376

DOI: https://doi.org/10.1090/S0002-9939-1972-0295076-1

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Maintenance of oscillations under the effect of a periodic forcing term

Athanassios G. Kartsatos

Proc. Amer. Math. Soc. 33 (1972), 377-383

DOI: https://doi.org/10.1090/S0002-9939-1972-0330622-0

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An eigenvalue problem for the Stieltjes mean sigma-integral related to Gronwall’s inequality

Jeffrey R. Kroll and Keith P. Smith

Proc. Amer. Math. Soc. 33 (1972), 384-388

DOI: https://doi.org/10.1090/S0002-9939-1972-0291742-2

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A note on polynomial hulls

H. Alexander

Proc. Amer. Math. Soc. 33 (1972), 389-391

DOI: https://doi.org/10.1090/S0002-9939-1972-0294689-0

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The Schwarzian derivative and univalent functions

Shigeo Ozaki and Mamoru Nunokawa

Proc. Amer. Math. Soc. 33 (1972), 392-394

DOI: https://doi.org/10.1090/S0002-9939-1972-0299773-3

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On the Lebedev-Milin inequality

Mishael Zedek

Proc. Amer. Math. Soc. 33 (1972), 395-397

DOI: https://doi.org/10.1090/S0002-9939-1972-0294608-7

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A note on polyhedral Banach spaces

Alan Gleit and Robert McGuigan

Proc. Amer. Math. Soc. 33 (1972), 398-404

DOI: https://doi.org/10.1090/S0002-9939-1972-0295055-4

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On Weyl’s theorem and its converse

Matthew C. Y. Lee

Proc. Amer. Math. Soc. 33 (1972), 405-409

DOI: https://doi.org/10.1090/S0002-9939-1972-0296739-4

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Homomorphisms of rings of germs of analytic functions

William R. Zame

Proc. Amer. Math. Soc. 33 (1972), 410-414

DOI: https://doi.org/10.1090/S0002-9939-1972-0289808-6

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Double commutants of algebraic operators

T. Rolf Turner

Proc. Amer. Math. Soc. 33 (1972), 415-419

DOI: https://doi.org/10.1090/S0002-9939-1972-0291863-4

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A property of $y”’+p(x)y^{’} +{1\over 2}p^{’} (x)y=0$

Gary D. Jones

Proc. Amer. Math. Soc. 33 (1972), 420-422

DOI: https://doi.org/10.1090/S0002-9939-1972-0293170-2

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Normability of certain topological rings

Seth Warner

Proc. Amer. Math. Soc. 33 (1972), 423-427

DOI: https://doi.org/10.1090/S0002-9939-1972-0296114-2

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Boundary behavior of starlike functions

P. J. Eenigenburg

Proc. Amer. Math. Soc. 33 (1972), 428-432

DOI: https://doi.org/10.1090/S0002-9939-1972-0293098-8

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Convex functions and harmonic maps

William B. Gordon

Proc. Amer. Math. Soc. 33 (1972), 433-437

DOI: https://doi.org/10.1090/S0002-9939-1972-0291987-1

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Coefficients for the area theorem

A. W. Goodman

Proc. Amer. Math. Soc. 33 (1972), 438-444

DOI: https://doi.org/10.1090/S0002-9939-1972-0291437-5

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Singularities of a class of meromorphic functions

Nicholas P. Callas and W. J. Thron

Proc. Amer. Math. Soc. 33 (1972), 445-454

DOI: https://doi.org/10.1090/S0002-9939-1972-0291420-X

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An extremal problem for functions with positive real part

R. S. Gupta

Proc. Amer. Math. Soc. 33 (1972), 455-462

DOI: https://doi.org/10.1090/S0002-9939-1972-0293088-5

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On the coefficients of starlike functions

Finbarr Holland

Proc. Amer. Math. Soc. 33 (1972), 463-470

DOI: https://doi.org/10.1090/S0002-9939-1972-0291438-7

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On the saturation class for spline functions

Franklin Richards

Proc. Amer. Math. Soc. 33 (1972), 471-476

DOI: https://doi.org/10.1090/S0002-9939-1972-0294958-4

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On the arithmetic mean of Fourier-Stieltjes coefficients

Constantine Georgakis

Proc. Amer. Math. Soc. 33 (1972), 477-484

DOI: https://doi.org/10.1090/S0002-9939-1972-0298319-3

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Equivalence of projections

S. K. Berberian

Proc. Amer. Math. Soc. 33 (1972), 485-490

DOI: https://doi.org/10.1090/S0002-9939-1972-0295090-6

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Pure states with the restriction property

Bruce A. Barnes

Proc. Amer. Math. Soc. 33 (1972), 491-494

DOI: https://doi.org/10.1090/S0002-9939-1972-0295089-X

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On oscillations for solutions of $n$th order differential equations

H. Onose

Proc. Amer. Math. Soc. 33 (1972), 495-500

DOI: https://doi.org/10.1090/S0002-9939-1972-0296419-5

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Strict essential minima

R. J. O’Malley

Proc. Amer. Math. Soc. 33 (1972), 501-504

DOI: https://doi.org/10.1090/S0002-9939-1972-0291400-4

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The entire functions separate $\beta \textbf {C}$

J. J. Kelleher and B. A. Taylor

Proc. Amer. Math. Soc. 33 (1972), 505-506

DOI: https://doi.org/10.1090/S0002-9939-1972-0296283-4

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Mixtures of nonatomic measures

K. P. S. Bhaskara Rao and M. Bhaskara Rao

Proc. Amer. Math. Soc. 33 (1972), 507-510

DOI: https://doi.org/10.1090/S0002-9939-1972-0293048-4

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Quadrature-Galerkin approximations to solutions of elliptic differential equations

Martin H. Schultz

Proc. Amer. Math. Soc. 33 (1972), 511-515

DOI: https://doi.org/10.1090/S0002-9939-1972-0315919-2

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Linear isotropy group of an affine symmetric space

Jun Nagasawa

Proc. Amer. Math. Soc. 33 (1972), 516-519

DOI: https://doi.org/10.1090/S0002-9939-1972-0296860-0

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A note on rigid substructures

R. J. Parikh

Proc. Amer. Math. Soc. 33 (1972), 520-522

DOI: https://doi.org/10.1090/S0002-9939-1972-0294112-6

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On the lower bound of the number of real roots of a random algebraic equation with infinite variance

G. Samal and M. N. Mishra

Proc. Amer. Math. Soc. 33 (1972), 523-528

DOI: https://doi.org/10.1090/S0002-9939-1972-0295411-4

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The convergence determining class of connected open sets in product spaces

Dieter Landers

Proc. Amer. Math. Soc. 33 (1972), 529-533

DOI: https://doi.org/10.1090/S0002-9939-1972-0298718-X

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A random Fredholm integral equation

W. J. Padgett and Chris P. Tsokos

Proc. Amer. Math. Soc. 33 (1972), 534-542

DOI: https://doi.org/10.1090/S0002-9939-1972-0292197-4

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Applications of nilmanifold theory to Diophantine approximations

Jonathan Brezin

Proc. Amer. Math. Soc. 33 (1972), 543-547

DOI: https://doi.org/10.1090/S0002-9939-1972-0311587-4

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The signature of fiber bundles

James A. Schafer

Proc. Amer. Math. Soc. 33 (1972), 548-550

DOI: https://doi.org/10.1090/S0002-9939-1972-0324696-0

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Cohomology operations on $p$-fold sums

Emery Thomas

Proc. Amer. Math. Soc. 33 (1972), 551-553

DOI: https://doi.org/10.1090/S0002-9939-1972-0290356-8

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A dual to the bordism concept

R. E. Stong

Proc. Amer. Math. Soc. 33 (1972), 554-556

DOI: https://doi.org/10.1090/S0002-9939-1972-0298675-6

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Retractions and quasi-monotone mappings of unicoherent spaces

M. M. McWaters and J. H. Reed

Proc. Amer. Math. Soc. 33 (1972), 557-561

DOI: https://doi.org/10.1090/S0002-9939-1972-0298628-8

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Maps between topological groups that are homotopic to homomorphisms

Wladimiro Scheffer

Proc. Amer. Math. Soc. 33 (1972), 562-567

DOI: https://doi.org/10.1090/S0002-9939-1972-0301130-8

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Unitary bordism of abelian groups

Erich Ossa

Proc. Amer. Math. Soc. 33 (1972), 568-571

DOI: https://doi.org/10.1090/S0002-9939-1972-0293666-3

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Extensions of left uniformly continuous functions on a topological semigroup

Samuel J. Wiley

Proc. Amer. Math. Soc. 33 (1972), 572-575

DOI: https://doi.org/10.1090/S0002-9939-1972-0296672-8

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$\textrm {PL}$ involutions of some $3$-manifolds

Myung Mi Myung

Proc. Amer. Math. Soc. 33 (1972), 576-581

DOI: https://doi.org/10.1090/S0002-9939-1972-0295363-7

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Quotient and pseudo-open images of separable metric spaces

Paul L. Strong

Proc. Amer. Math. Soc. 33 (1972), 582-586

DOI: https://doi.org/10.1090/S0002-9939-1972-0300253-7

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Some Wallman compactifications determined by retracts

H. L. Bentley

Proc. Amer. Math. Soc. 33 (1972), 587-593

DOI: https://doi.org/10.1090/S0002-9939-1972-0293588-8

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On compactness in function spaces

Giovanni Vidossich

Proc. Amer. Math. Soc. 33 (1972), 594-598

DOI: https://doi.org/10.1090/S0002-9939-1972-0293575-X

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Properties of Stone-Čech compactifications of discrete spaces

Nancy M. Warren

Proc. Amer. Math. Soc. 33 (1972), 599-606

DOI: https://doi.org/10.1090/S0002-9939-1972-0292035-X

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On averaging Lefschetz numbers

U. Kurt Scholz

Proc. Amer. Math. Soc. 33 (1972), 607-612

DOI: https://doi.org/10.1090/S0002-9939-1972-0343262-4

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Splitting in map groups

Lewis Robertson and Theodore W. Wilcox

Proc. Amer. Math. Soc. 33 (1972), 613-618

DOI: https://doi.org/10.1090/S0002-9939-1972-0296210-X

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Strongly semi-aposyndetic continua are hereditarily locally connected

Eldon J. Vought

Proc. Amer. Math. Soc. 33 (1972), 619-622

DOI: https://doi.org/10.1090/S0002-9939-1972-0362258-X

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On a construction of Bredon

Joseph Roitberg

Proc. Amer. Math. Soc. 33 (1972), 623-626

DOI: https://doi.org/10.1090/S0002-9939-1972-0295370-4

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On Liapunov’s inequality

Walter Leighton

Proc. Amer. Math. Soc. 33 (1972), 627-628

DOI: https://doi.org/10.1090/S0002-9939-1972-0291582-4

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