Proceedings of the American Mathematical Society

Contents of Volume 32, Number 2
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A note on the uniqueness of rings of coefficients in polynomial rings

Paul Eakin and K. K. Kubota

Proc. Amer. Math. Soc. 32 (1972), 333-341

DOI: https://doi.org/10.1090/S0002-9939-1972-0297763-8

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Minimal presentations for certain metabelian groups

D. G. Searby and J. W. Wamsley

Proc. Amer. Math. Soc. 32 (1972), 342-348

DOI: https://doi.org/10.1090/S0002-9939-1972-0291263-7

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On the group indices of the parasymplectic group of level $F$

Tetsuo Kodama

Proc. Amer. Math. Soc. 32 (1972), 349-357

DOI: https://doi.org/10.1090/S0002-9939-1972-0289664-6

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Extension of algebraic theories

E. James Peake and Galen R. Peters

Proc. Amer. Math. Soc. 32 (1972), 358-362

DOI: https://doi.org/10.1090/S0002-9939-1972-0299651-X

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Positive transformations restricted to subspaces and inequalities among their proper values

A. R. Amir-Moéz and C. R. Perry

Proc. Amer. Math. Soc. 32 (1972), 363-367

DOI: https://doi.org/10.1090/S0002-9939-1972-0289537-9

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Representation of a binary quadratic form as a sum of two squares

Kenneth S. Williams

Proc. Amer. Math. Soc. 32 (1972), 368-370

DOI: https://doi.org/10.1090/S0002-9939-1972-0325536-6

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Injective hulls of certain $S$-systems over a semilattice

C. S. Johnson and F. R. McMorris

Proc. Amer. Math. Soc. 32 (1972), 371-375

DOI: https://doi.org/10.1090/S0002-9939-1972-0289687-7

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A characterization of general $\textrm {Z}.\textrm {P}.\textrm {I}.$-rings

Kathleen B. Levitz

Proc. Amer. Math. Soc. 32 (1972), 376-380

DOI: https://doi.org/10.1090/S0002-9939-1972-0294312-5

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Semigroups corresponding to algebroid branches in the plane

H. Bresinsky

Proc. Amer. Math. Soc. 32 (1972), 381-384

DOI: https://doi.org/10.1090/S0002-9939-1972-0291171-1

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Multivalued operations and universal coalgebra

Robert C. Davis

Proc. Amer. Math. Soc. 32 (1972), 385-388

DOI: https://doi.org/10.1090/S0002-9939-1972-0311826-X

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Generalized Ramsey theory for graphs. II. Small diagonal numbers

Václav Chvátal and Frank Harary

Proc. Amer. Math. Soc. 32 (1972), 389-394

DOI: https://doi.org/10.1090/S0002-9939-1972-0332559-X

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Continuous dependence on $A$ in the $D_{1}AD_{2}$ theorems

Richard Sinkhorn

Proc. Amer. Math. Soc. 32 (1972), 395-398

DOI: https://doi.org/10.1090/S0002-9939-1972-0297792-4

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Automorphism of a finite group scalar on the cosets of a subgroup

Saïd Sidki

Proc. Amer. Math. Soc. 32 (1972), 399-402

DOI: https://doi.org/10.1090/S0002-9939-1972-0301096-0

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Two new proofs of Lerch’s functional equation

Bruce C. Berndt

Proc. Amer. Math. Soc. 32 (1972), 403-408

DOI: https://doi.org/10.1090/S0002-9939-1972-0297721-3

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Constructions of disjoint Steiner triple systems

Jean Doyen

Proc. Amer. Math. Soc. 32 (1972), 409-416

DOI: https://doi.org/10.1090/S0002-9939-1972-0295928-2

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The converse to a theorem of Sharp on Gorenstein modules

Idun Reiten

Proc. Amer. Math. Soc. 32 (1972), 417-420

DOI: https://doi.org/10.1090/S0002-9939-1972-0296067-7

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On high order derivations of fields

J. N. Mordeson and B. Vinograde

Proc. Amer. Math. Soc. 32 (1972), 421-422

DOI: https://doi.org/10.1090/S0002-9939-1972-0289466-0

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The Boolean ring generated by a distributive lattice

S. J. Bernau

Proc. Amer. Math. Soc. 32 (1972), 423-424

DOI: https://doi.org/10.1090/S0002-9939-1972-0292728-4

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$K_{1}$ of a commutative von Neumann regular ring

Leslie G. Roberts

Proc. Amer. Math. Soc. 32 (1972), 425-426

DOI: https://doi.org/10.1090/S0002-9939-1972-0289497-0

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Embedding rational division algebras

Burton Fein

Proc. Amer. Math. Soc. 32 (1972), 427-429

DOI: https://doi.org/10.1090/S0002-9939-1972-0289568-9

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On the comparability of $A^{1/2}$ and $A^{\ast 1/2}$

Alan McIntosh

Proc. Amer. Math. Soc. 32 (1972), 430-434

DOI: https://doi.org/10.1090/S0002-9939-1972-0290169-7

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An inequality of Turán type for Jacobi polynomials

George Gasper

Proc. Amer. Math. Soc. 32 (1972), 435-439

DOI: https://doi.org/10.1090/S0002-9939-1972-0289826-8

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On the existence of invariant subspaces in spaces with indefinite metric

Kyûya Masuda

Proc. Amer. Math. Soc. 32 (1972), 440-444

DOI: https://doi.org/10.1090/S0002-9939-1972-0295122-5

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On the behavior of solutions of sublinear second order differential equations

Hugo Teufel

Proc. Amer. Math. Soc. 32 (1972), 445-451

DOI: https://doi.org/10.1090/S0002-9939-1972-0294773-1

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Stability of a scaler differential equation

R. Grimmer

Proc. Amer. Math. Soc. 32 (1972), 452-456

DOI: https://doi.org/10.1090/S0002-9939-1972-0288369-5

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On the convolution equation $P=PQ$ of Choquet and Deny for probability measures on semigroups

A. Mukherjea

Proc. Amer. Math. Soc. 32 (1972), 457-463

DOI: https://doi.org/10.1090/S0002-9939-1972-0293687-0

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Dirichlet finite solutions of $\Delta u=Pu$

Ivan J. Singer

Proc. Amer. Math. Soc. 32 (1972), 464-468

DOI: https://doi.org/10.1090/S0002-9939-1972-0344452-7

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The closed ideals of some Dirichlet and hypo-Dirichlet algebras

Robert G. Blumenthal

Proc. Amer. Math. Soc. 32 (1972), 469-471

DOI: https://doi.org/10.1090/S0002-9939-1972-0290111-9

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Sets of multiplicity and differentiable functions

R. Kaufman

Proc. Amer. Math. Soc. 32 (1972), 472-476

DOI: https://doi.org/10.1090/S0002-9939-1972-0340928-7

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An approximation theory for focal points and focal intervals

John Gregory

Proc. Amer. Math. Soc. 32 (1972), 477-483

DOI: https://doi.org/10.1090/S0002-9939-1972-0296788-6

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A theory of unbounded generalized scalar operators

Brian Kritt

Proc. Amer. Math. Soc. 32 (1972), 484-490

DOI: https://doi.org/10.1090/S0002-9939-1972-0293437-8

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A convergence theorem for limitärperiodisch $T$-fractions of rational functions

Kari Hag

Proc. Amer. Math. Soc. 32 (1972), 491-496

DOI: https://doi.org/10.1090/S0002-9939-1972-0291421-1

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A strong maximum principle for quasilinear parabolic differential inequalities

O. ARENA

Proc. Amer. Math. Soc. 32 (1972), 497-502

DOI: https://doi.org/10.1090/S0002-9939-1972-0291634-9

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An abstract measure differential equation

R. R. Sharma

Proc. Amer. Math. Soc. 32 (1972), 503-510

DOI: https://doi.org/10.1090/S0002-9939-1972-0291600-3

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On invariant sets and on a theorem of Ważewski

Philip Hartman

Proc. Amer. Math. Soc. 32 (1972), 511-520

DOI: https://doi.org/10.1090/S0002-9939-1972-0298091-7

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Dirichlet finite biharmonic functions on the unit disk with distorted metrics

Heppé O’Malla

Proc. Amer. Math. Soc. 32 (1972), 521-524

DOI: https://doi.org/10.1090/S0002-9939-1972-0340627-1

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Existence and nonuniqueness of invariant means on $\mathcal {L}^\infty (\hat G)$

Charles F. Dunkl and Donald E. Ramirez

Proc. Amer. Math. Soc. 32 (1972), 525-530

DOI: https://doi.org/10.1090/S0002-9939-1972-0296609-1

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On a characterisation of matrix functions which are differences of two monotone matrix functions

Harkrishan Vasudeva

Proc. Amer. Math. Soc. 32 (1972), 531-534

DOI: https://doi.org/10.1090/S0002-9939-1972-0293035-6

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A vector measure with no derivative

D. R. Lewis

Proc. Amer. Math. Soc. 32 (1972), 535-536

DOI: https://doi.org/10.1090/S0002-9939-1972-0296248-2

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Peano curves in function algebras

Larry Q. Eifler

Proc. Amer. Math. Soc. 32 (1972), 537-538

DOI: https://doi.org/10.1090/S0002-9939-1972-0296698-4

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Centralizers of Fourier algebra of an amenable group

P. F. Renaud

Proc. Amer. Math. Soc. 32 (1972), 539-542

DOI: https://doi.org/10.1090/S0002-9939-1972-0293019-8

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Submodules of $C(X)\times \cdots \times C(X)$

B. Roth

Proc. Amer. Math. Soc. 32 (1972), 543-548

DOI: https://doi.org/10.1090/S0002-9939-1972-0293382-8

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The compact operators are not complemented in $\mathcal {B}(\mathcal {H})$

John B. Conway

Proc. Amer. Math. Soc. 32 (1972), 549-550

DOI: https://doi.org/10.1090/S0002-9939-1972-0288559-1

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Closed ideals in subalgebras of Banach algebras. I

J. T. Burnham

Proc. Amer. Math. Soc. 32 (1972), 551-555

DOI: https://doi.org/10.1090/S0002-9939-1972-0295078-5

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On characterization of Riemannian manifolds by growth of tubular neighborhoods

Nathaniel Grossman

Proc. Amer. Math. Soc. 32 (1972), 556-560

DOI: https://doi.org/10.1090/S0002-9939-1972-0296855-7

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Riemann surfaces in complex projective spaces

Bang-yen Chen and Gerald D. Ludden

Proc. Amer. Math. Soc. 32 (1972), 561-566

DOI: https://doi.org/10.1090/S0002-9939-1972-0290262-9

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The bold strategy in presence of house limit

J. Ernest Wilkins

Proc. Amer. Math. Soc. 32 (1972), 567-570

DOI: https://doi.org/10.1090/S0002-9939-1972-0292182-2

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An exact sequence calculation for the second homotopy of a knot

M. A. Gutiérrez

Proc. Amer. Math. Soc. 32 (1972), 571-577

DOI: https://doi.org/10.1090/S0002-9939-1972-0322848-7

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A sufficient condition for countable-set aposyndesis

Donald E. Bennett

Proc. Amer. Math. Soc. 32 (1972), 578-584

DOI: https://doi.org/10.1090/S0002-9939-1972-0293594-3

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Central measures on semisimple Lie groups have essentially compact support

David L. Ragozin and Linda Preiss Rothschild

Proc. Amer. Math. Soc. 32 (1972), 585-589

DOI: https://doi.org/10.1090/S0002-9939-1972-0291373-4

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Darboux’s theorem fails for weak symplectic forms

J. Marsden

Proc. Amer. Math. Soc. 32 (1972), 590-592

DOI: https://doi.org/10.1090/S0002-9939-1972-0293678-X

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A note on the Whitehead torsion of a bundle modulo a subbundle

Douglas R. Anderson

Proc. Amer. Math. Soc. 32 (1972), 593-595

DOI: https://doi.org/10.1090/S0002-9939-1972-0322882-7

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Recurrence and almost periodicity in a generative transformation group

Fred A. Roberson

Proc. Amer. Math. Soc. 32 (1972), 596-598

DOI: https://doi.org/10.1090/S0002-9939-1972-0293609-2

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Skeleta of complexes with low $MU_\ast$ projective dimension

David Copeland Johnson

Proc. Amer. Math. Soc. 32 (1972), 599-604

DOI: https://doi.org/10.1090/S0002-9939-1972-0288754-1

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Maximal independent collections of closed sets

Harvy Lee Baker

Proc. Amer. Math. Soc. 32 (1972), 605-610

DOI: https://doi.org/10.1090/S0002-9939-1972-0293578-5

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$H$-structures on products

Arthur H. Copeland

Proc. Amer. Math. Soc. 32 (1972), 611-614

DOI: https://doi.org/10.1090/S0002-9939-1972-0288759-0

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A note on $\mathcal {Z}$-realcompactifications

Anthony J. D’Aristotle

Proc. Amer. Math. Soc. 32 (1972), 615-618

DOI: https://doi.org/10.1090/S0002-9939-1972-0288730-9

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An algebraic characterization of dimension

M. J. Canfell

Proc. Amer. Math. Soc. 32 (1972), 619-620

DOI: https://doi.org/10.1090/S0002-9939-1972-0305373-9

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Homotopical nilpotence of the seven sphere

William J. Gilbert

Proc. Amer. Math. Soc. 32 (1972), 621-622

DOI: https://doi.org/10.1090/S0002-9939-1972-0288761-9

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A remark on groups with the fixed point property

Barry Simon

Proc. Amer. Math. Soc. 32 (1972), 623-624

DOI: https://doi.org/10.1090/S0002-9939-1972-0301138-2

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Continuous functions from a connected locally connected space into a connected space with a dispersion point

C. A. Coppin

Proc. Amer. Math. Soc. 32 (1972), 625-626

DOI: https://doi.org/10.1090/S0002-9939-1972-0296913-7

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A note on homotopy equivalences

R. M. Vogt

Proc. Amer. Math. Soc. 32 (1972), 627-629

DOI: https://doi.org/10.1090/S0002-9939-1972-0293632-8

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A necessary condition for quasitriangularity

James A. Deddens

Proc. Amer. Math. Soc. 32 (1972), 630-631

DOI: https://doi.org/10.1090/S0002-9939-1972-0288614-6

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A normal subgroup of a semisimple Lie group is closed

David L. Ragozin

Proc. Amer. Math. Soc. 32 (1972), 632-633

DOI: https://doi.org/10.1090/S0002-9939-1972-0294563-X

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Erratum: “A general three-series theorem”

B. M. Brown

Proc. Amer. Math. Soc. 32 (1972), 634

DOI: https://doi.org/10.1090/S0002-9939-1972-0296999-X

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