Contents of Volume 32, Number 2

All articles in this issue are freely accessible.

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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
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MathSciNet review: 0297763

Minimal presentations for certain metabelian groups

D. G. Searby and J. W. Wamsley.
Proc. Amer. Math. Soc. 32 (1972), 342-348
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MathSciNet review: 0291263

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

Tetsuo Kodama.
Proc. Amer. Math. Soc. 32 (1972), 349-357
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MathSciNet review: 0289664

Extension of algebraic theories

E. James Peake and Galen R. Peters.
Proc. Amer. Math. Soc. 32 (1972), 358-362
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MathSciNet review: 0299651

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
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MathSciNet review: 0289537

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

Kenneth S. Williams.
Proc. Amer. Math. Soc. 32 (1972), 368-370
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MathSciNet review: 0325536

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

C. S. Johnson and F. R. McMorris.
Proc. Amer. Math. Soc. 32 (1972), 371-375
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MathSciNet review: 0289687

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

Kathleen B. Levitz.
Proc. Amer. Math. Soc. 32 (1972), 376-380
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MathSciNet review: 0294312

Semigroups corresponding to algebroid branches in the plane

H. Bresinsky.
Proc. Amer. Math. Soc. 32 (1972), 381-384
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MathSciNet review: 0291171

Multivalued operations and universal coalgebra

Robert C. Davis.
Proc. Amer. Math. Soc. 32 (1972), 385-388
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MathSciNet review: 0311826

Generalized Ramsey theory for graphs. II. Small diagonal numbers

Václav Chvátal and Frank Harary.
Proc. Amer. Math. Soc. 32 (1972), 389-394
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MathSciNet review: 0332559

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

Richard Sinkhorn.
Proc. Amer. Math. Soc. 32 (1972), 395-398
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MathSciNet review: 0297792

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

Saïd Sidki.
Proc. Amer. Math. Soc. 32 (1972), 399-402
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MathSciNet review: 0301096

Two new proofs of Lerch’s functional equation

Bruce C. Berndt.
Proc. Amer. Math. Soc. 32 (1972), 403-408
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MathSciNet review: 0297721

Constructions of disjoint Steiner triple systems

Jean Doyen.
Proc. Amer. Math. Soc. 32 (1972), 409-416
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MathSciNet review: 0295928

The converse to a theorem of Sharp on Gorenstein modules

Idun Reiten.
Proc. Amer. Math. Soc. 32 (1972), 417-420
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MathSciNet review: 0296067

On high order derivations of fields

J. N. Mordeson and B. Vinograde.
Proc. Amer. Math. Soc. 32 (1972), 421-422
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MathSciNet review: 0289466

The Boolean ring generated by a distributive lattice

S. J. Bernau.
Proc. Amer. Math. Soc. 32 (1972), 423-424
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MathSciNet review: 0292728

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

Leslie G. Roberts.
Proc. Amer. Math. Soc. 32 (1972), 425-426
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MathSciNet review: 0289497

Embedding rational division algebras

Burton Fein.
Proc. Amer. Math. Soc. 32 (1972), 427-429
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MathSciNet review: 0289568

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

Alan McIntosh.
Proc. Amer. Math. Soc. 32 (1972), 430-434
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MathSciNet review: 0290169

An inequality of Turán type for Jacobi polynomials

George Gasper.
Proc. Amer. Math. Soc. 32 (1972), 435-439
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MathSciNet review: 0289826

On the existence of invariant subspaces in spaces with indefinite metric

Kyûya Masuda.
Proc. Amer. Math. Soc. 32 (1972), 440-444
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MathSciNet review: 0295122

On the behavior of solutions of sublinear second order differential equations

Hugo Teufel.
Proc. Amer. Math. Soc. 32 (1972), 445-451
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MathSciNet review: 0294773

Stability of a scaler differential equation

R. Grimmer.
Proc. Amer. Math. Soc. 32 (1972), 452-456
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MathSciNet review: 0288369

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
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MathSciNet review: 0293687

Dirichlet finite solutions of $\Delta u=Pu$

Ivan J. Singer.
Proc. Amer. Math. Soc. 32 (1972), 464-468
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MathSciNet review: 0344452

The closed ideals of some Dirichlet and hypo-Dirichlet algebras

Robert G. Blumenthal.
Proc. Amer. Math. Soc. 32 (1972), 469-471
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MathSciNet review: 0290111

Sets of multiplicity and differentiable functions

R. Kaufman.
Proc. Amer. Math. Soc. 32 (1972), 472-476
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MathSciNet review: 0340928

An approximation theory for focal points and focal intervals

John Gregory.
Proc. Amer. Math. Soc. 32 (1972), 477-483
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MathSciNet review: 0296788

A theory of unbounded generalized scalar operators

Brian Kritt.
Proc. Amer. Math. Soc. 32 (1972), 484-490
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MathSciNet review: 0293437

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

Kari Hag.
Proc. Amer. Math. Soc. 32 (1972), 491-496
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MathSciNet review: 0291421

A strong maximum principle for quasilinear parabolic differential inequalities

O. ARENA.
Proc. Amer. Math. Soc. 32 (1972), 497-502
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MathSciNet review: 0291634

An abstract measure differential equation

R. R. Sharma.
Proc. Amer. Math. Soc. 32 (1972), 503-510
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MathSciNet review: 0291600

On invariant sets and on a theorem of Ważewski

Philip Hartman.
Proc. Amer. Math. Soc. 32 (1972), 511-520
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MathSciNet review: 0298091

Dirichlet finite biharmonic functions on the unit disk with distorted metrics

Heppé O’Malla.
Proc. Amer. Math. Soc. 32 (1972), 521-524
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MathSciNet review: 0340627

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
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MathSciNet review: 0296609

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

Harkrishan Vasudeva.
Proc. Amer. Math. Soc. 32 (1972), 531-534
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MathSciNet review: 0293035

A vector measure with no derivative

D. R. Lewis.
Proc. Amer. Math. Soc. 32 (1972), 535-536
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MathSciNet review: 0296248

Peano curves in function algebras

Larry Q. Eifler.
Proc. Amer. Math. Soc. 32 (1972), 537-538
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MathSciNet review: 0296698

Centralizers of Fourier algebra of an amenable group

P. F. Renaud.
Proc. Amer. Math. Soc. 32 (1972), 539-542
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MathSciNet review: 0293019

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

B. Roth.
Proc. Amer. Math. Soc. 32 (1972), 543-548
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MathSciNet review: 0293382

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

John B. Conway.
Proc. Amer. Math. Soc. 32 (1972), 549-550
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MathSciNet review: 0288559

Closed ideals in subalgebras of Banach algebras. I

J. T. Burnham.
Proc. Amer. Math. Soc. 32 (1972), 551-555
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MathSciNet review: 0295078

On characterization of Riemannian manifolds by growth of tubular neighborhoods

Nathaniel Grossman.
Proc. Amer. Math. Soc. 32 (1972), 556-560
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MathSciNet review: 0296855

Riemann surfaces in complex projective spaces

Bang-yen Chen and Gerald D. Ludden.
Proc. Amer. Math. Soc. 32 (1972), 561-566
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MathSciNet review: 0290262

The bold strategy in presence of house limit

J. Ernest Wilkins.
Proc. Amer. Math. Soc. 32 (1972), 567-570
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MathSciNet review: 0292182

An exact sequence calculation for the second homotopy of a knot

M. A. Gutiérrez.
Proc. Amer. Math. Soc. 32 (1972), 571-577
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MathSciNet review: 0322848

A sufficient condition for countable-set aposyndesis

Donald E. Bennett.
Proc. Amer. Math. Soc. 32 (1972), 578-584
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MathSciNet review: 0293594

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
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MathSciNet review: 0291373

Darboux’s theorem fails for weak symplectic forms

J. Marsden.
Proc. Amer. Math. Soc. 32 (1972), 590-592
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MathSciNet review: 0293678

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

Douglas R. Anderson.
Proc. Amer. Math. Soc. 32 (1972), 593-595
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MathSciNet review: 0322882

Recurrence and almost periodicity in a generative transformation group

Fred A. Roberson.
Proc. Amer. Math. Soc. 32 (1972), 596-598
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MathSciNet review: 0293609

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

David Copeland Johnson.
Proc. Amer. Math. Soc. 32 (1972), 599-604
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MathSciNet review: 0288754

Maximal independent collections of closed sets

Harvy Lee Baker.
Proc. Amer. Math. Soc. 32 (1972), 605-610
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MathSciNet review: 0293578

$H$-structures on products

Arthur H. Copeland.
Proc. Amer. Math. Soc. 32 (1972), 611-614
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MathSciNet review: 0288759

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

Anthony J. D’Aristotle.
Proc. Amer. Math. Soc. 32 (1972), 615-618
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MathSciNet review: 0288730

An algebraic characterization of dimension

M. J. Canfell.
Proc. Amer. Math. Soc. 32 (1972), 619-620
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MathSciNet review: 0305373

Homotopical nilpotence of the seven sphere

William J. Gilbert.
Proc. Amer. Math. Soc. 32 (1972), 621-622
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MathSciNet review: 0288761

A remark on groups with the fixed point property

Barry Simon.
Proc. Amer. Math. Soc. 32 (1972), 623-624
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MathSciNet review: 0301138

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
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MathSciNet review: 0296913

A note on homotopy equivalences

R. M. Vogt.
Proc. Amer. Math. Soc. 32 (1972), 627-629
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MathSciNet review: 0293632

A necessary condition for quasitriangularity

James A. Deddens.
Proc. Amer. Math. Soc. 32 (1972), 630-631
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MathSciNet review: 0288614

A normal subgroup of a semisimple Lie group is closed

David L. Ragozin.
Proc. Amer. Math. Soc. 32 (1972), 632-633
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MathSciNet review: 0294563

Erratum: “A general three-series theorem”

B. M. Brown.
Proc. Amer. Math. Soc. 32 (1972), 634
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MathSciNet review: 0296999