Contents of Volume 31, Number 2

All articles in this issue are freely accessible.

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The independence of certain axioms of structures in sets

Japheth Hall.
Proc. Amer. Math. Soc. 31 (1972), 317-325
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MathSciNet review: 0291047

Separation of nonassociates by valuations

David E. Brown and Max D. Larsen.
Proc. Amer. Math. Soc. 31 (1972), 326-332
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MathSciNet review: 0289506

Solution of certain matrix equations

John Jones.
Proc. Amer. Math. Soc. 31 (1972), 333-339
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MathSciNet review: 0292863

Representations of Euler classes

Howard Osborn.
Proc. Amer. Math. Soc. 31 (1972), 340-346
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MathSciNet review: 0300303

Divinsky’s radical

Patrick N. Stewart.
Proc. Amer. Math. Soc. 31 (1972), 347-353
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MathSciNet review: 0286823

Some applications of differential algebra to ring theory

John Cozzens and Joseph Johnson.
Proc. Amer. Math. Soc. 31 (1972), 354-356
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MathSciNet review: 0289472

A note on zero divisors in group-rings

Jacques Lewin.
Proc. Amer. Math. Soc. 31 (1972), 357-359
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MathSciNet review: 0292957

On groups of exponent four. II

C. K. Gupta and N. D. Gupta.
Proc. Amer. Math. Soc. 31 (1972), 360-362
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MathSciNet review: 0289631

The Lie algebra of the structure group of a power-associative algebra.

D. R. Scribner.
Proc. Amer. Math. Soc. 31 (1972), 363-367
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MathSciNet review: 0288154

Algebraic algebras with involution

Susan Montgomery.
Proc. Amer. Math. Soc. 31 (1972), 368-372
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MathSciNet review: 0288149

A generalization of Mori’s theorem

Chin-pi Lu.
Proc. Amer. Math. Soc. 31 (1972), 373-375
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MathSciNet review: 0286786

On algebras satisfying the identity $(yx)x+x(xy)=2(xy)x$

Robert A. Chaffer.
Proc. Amer. Math. Soc. 31 (1972), 376-380
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MathSciNet review: 0288153

The class number of $Q(√-p)$, for $P≡1 (mod 8)$ a prime

Ezra Brown.
Proc. Amer. Math. Soc. 31 (1972), 381-383
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MathSciNet review: 0289455

Dirichlet $L$-functions and primitive characters

Tom M. Apostol.
Proc. Amer. Math. Soc. 31 (1972), 384-386
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MathSciNet review: 0285499

The distribution of absolutely irreducible polynomials in several indeterminates

M. L. Fredman.
Proc. Amer. Math. Soc. 31 (1972), 387-390
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MathSciNet review: 0286779

Union conditions in Noether lattices

Johnny A. Johnson.
Proc. Amer. Math. Soc. 31 (1972), 391-394
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MathSciNet review: 0294188

Which abelian groups can support a directed, interpolation order?

A. M. W. Glass.
Proc. Amer. Math. Soc. 31 (1972), 395-400
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MathSciNet review: 0289389

Characterization of rings using quasiprojective modules. III

Jonathan S. Golan.
Proc. Amer. Math. Soc. 31 (1972), 401-408
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MathSciNet review: 0302700

An embedding theorem for commutative lattice-ordered domains

Stuart A. Steinberg.
Proc. Amer. Math. Soc. 31 (1972), 409-416
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MathSciNet review: 0285464

Separating $p$-bases and transcendental extension fields

J. N. Mordeson and B. Vinograde.
Proc. Amer. Math. Soc. 31 (1972), 417-422
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MathSciNet review: 0289465

An extension of the Noether-Deuring theorem

Klaus W. Roggenkamp.
Proc. Amer. Math. Soc. 31 (1972), 423-426
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MathSciNet review: 0286839

Determination of $k_{n}(n≥3)$ for global fields

Richard Elman and T.-Y. Lam.
Proc. Amer. Math. Soc. 31 (1972), 427-428
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MathSciNet review: 0289604

A note on finitely generated ideals which are locally principal

James W. Brewer and Edgar A. Rutter.
Proc. Amer. Math. Soc. 31 (1972), 429-432
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MathSciNet review: 0289480

On the exponent of the ideal class groups of complex quadratic fields.

David W. Boyd and H. Kisilevsky.
Proc. Amer. Math. Soc. 31 (1972), 433-436
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MathSciNet review: 0289454

Monotonicity of positive semidefinite Hermitian matrices

Russell Merris and Stephen Pierce.
Proc. Amer. Math. Soc. 31 (1972), 437-440
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MathSciNet review: 0285556

On the existence of fixed points in a totally ordered set

F. T. Metcalf and T. H. Payne.
Proc. Amer. Math. Soc. 31 (1972), 441-444
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MathSciNet review: 0286722

Principal ideals in the ideal lattice

H. Subramanian.
Proc. Amer. Math. Soc. 31 (1972), 445
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MathSciNet review: 0284424

Starlike meromorphic functions

James Miller.
Proc. Amer. Math. Soc. 31 (1972), 446-452
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MathSciNet review: 0288267

Positive solutions of positive linear equations

Paul Nelson.
Proc. Amer. Math. Soc. 31 (1972), 453-457
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MathSciNet review: 0288605

The spectra of unbounded hyponormal operators

C. R. Putnam.
Proc. Amer. Math. Soc. 31 (1972), 458-464
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MathSciNet review: 0291848

Isometries of $H^{p}$ spaces of the torus

Nand Lal and Samuel Merrill.
Proc. Amer. Math. Soc. 31 (1972), 465-471
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MathSciNet review: 0296676

A representation theorem for $L^{p}$ spaces

Marek Kanter.
Proc. Amer. Math. Soc. 31 (1972), 472-474
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MathSciNet review: 0290088

On the smoothness of eigenfunctions of hyponormal singular integral operators

Kevin Clancey.
Proc. Amer. Math. Soc. 31 (1972), 475-479
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MathSciNet review: 0284873

Stone’s theorem for a group of unitary operators over a Hilbert space

Habib Salehi.
Proc. Amer. Math. Soc. 31 (1972), 480-484
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MathSciNet review: 0300128

Measurability of functions in product spaces

Kohur Gowrisankaran.
Proc. Amer. Math. Soc. 31 (1972), 485-488
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MathSciNet review: 0291403

A uniform asymptotic turning point theory for second order linear ordinary differential equations

Erich Zauderer.
Proc. Amer. Math. Soc. 31 (1972), 489-494
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MathSciNet review: 0288365

Equivalent types of invariant means on locally compact groups

P. F. Renaud.
Proc. Amer. Math. Soc. 31 (1972), 495-498
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MathSciNet review: 0304974

On asymptotic behavior of perturbed nonlinear systems

R. E. Fennell and T. G. Proctor.
Proc. Amer. Math. Soc. 31 (1972), 499-504
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MathSciNet review: 0287099

Multiplier operators on $B^{∗} $-algebras

B. D. Malviya and B. J. Tomiuk.
Proc. Amer. Math. Soc. 31 (1972), 505-510
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MathSciNet review: 0305085

Dual necklaces of $n$-dimensional cubes

Kenneth Kalmanson.
Proc. Amer. Math. Soc. 31 (1972), 511-516
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MathSciNet review: 0285993

Extending congruence relations

Peter Krauss.
Proc. Amer. Math. Soc. 31 (1972), 517-520
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MathSciNet review: 0285470

A property of arithmetic sets

Hisao Tanaka.
Proc. Amer. Math. Soc. 31 (1972), 521-524
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MathSciNet review: 0286661

Elementary extensions of linear topological abelian groups

R. G. Phillips and P. L. Sperry.
Proc. Amer. Math. Soc. 31 (1972), 525-528
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MathSciNet review: 0288212

The Wall invariant of certain $S^{1}$ bundles

Douglas R. Anderson.
Proc. Amer. Math. Soc. 31 (1972), 529-535
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MathSciNet review: 0287545

The bordism ring of manifolds with involution

J. C. Alexander.
Proc. Amer. Math. Soc. 31 (1972), 536-542
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MathSciNet review: 0290379

A product theorem for $H$-group fibrations

F. H. Croom.
Proc. Amer. Math. Soc. 31 (1972), 543-549
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MathSciNet review: 0290368

The hyperspace of a pseudoarc is a Cantor manifold

Togo Nishiura and Choon Jai Rhee.
Proc. Amer. Math. Soc. 31 (1972), 550-556
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MathSciNet review: 0290337

An index for set-valued maps in infinite-dimensional spaces

Stephen A. Williams.
Proc. Amer. Math. Soc. 31 (1972), 557-563
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MathSciNet review: 0287535

Equivariant bordism and cyclic groups

Peter S. Landweber.
Proc. Amer. Math. Soc. 31 (1972), 564-570
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MathSciNet review: 0296969

Regular compactifications of convergence spaces

G. D. Richardson and D. C. Kent.
Proc. Amer. Math. Soc. 31 (1972), 571-573
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MathSciNet review: 0286074

On the countably generated $z$-ideals of $C(X)$

G. De Marco.
Proc. Amer. Math. Soc. 31 (1972), 574-576
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MathSciNet review: 0288563

A compactification of locally compact spaces

F. W. Lozier.
Proc. Amer. Math. Soc. 31 (1972), 577-579
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MathSciNet review: 0286072

$H$-spaces which are co-$H$-spaces

Robert W. West.
Proc. Amer. Math. Soc. 31 (1972), 580-582
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MathSciNet review: 0285006

Sets accessible at each point only by wild arcs

Gary Glenn Miller.
Proc. Amer. Math. Soc. 31 (1972), 583-590
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MathSciNet review: 0284992

Rigid pairs of long arcs

Gary G. Miller.
Proc. Amer. Math. Soc. 31 (1972), 591-594
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MathSciNet review: 0290336

Fixed point theorems for certain classes of multifunctions

R. E. Smithson.
Proc. Amer. Math. Soc. 31 (1972), 595-600
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MathSciNet review: 0288750

On Spanier’s higher order operations

Yuh-ching Chen.
Proc. Amer. Math. Soc. 31 (1972), 601-604
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MathSciNet review: 0288758

An algebraic proof that $[Ω^{U}]_{2}=\germ N^{2}$

Don Porter.
Proc. Amer. Math. Soc. 31 (1972), 605-608
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MathSciNet review: 0288773

Products of uncountably many $k$-spaces

N. Noble.
Proc. Amer. Math. Soc. 31 (1972), 609-612
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MathSciNet review: 0287503

$C$-embedded subsets of products

N. Noble.
Proc. Amer. Math. Soc. 31 (1972), 613-614
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MathSciNet review: 0284978

Pseudo-isotopies of arcs and knots

Carl D. Sikkema.
Proc. Amer. Math. Soc. 31 (1972), 615-616
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MathSciNet review: 0286094

Inadequacy of ordinary homology theory

T. Y. Lin.
Proc. Amer. Math. Soc. 31 (1972), 617-619
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MathSciNet review: 0307241

A note on one-dimensional attracting sets in the three-sphere

Joel C. Gibbons.
Proc. Amer. Math. Soc. 31 (1972), 620-622
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MathSciNet review: 0292109

A decomposition theorem for closed compact connected P. L. $n$-manifolds

B. G. Casler.
Proc. Amer. Math. Soc. 31 (1972), 623-624
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MathSciNet review: 0290372

Quotient groups of topological groups with no small subgroups

Sidney A. Morris.
Proc. Amer. Math. Soc. 31 (1972), 625-626
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MathSciNet review: 0293000

Another fixed point theorem for plane continua

Charles L. Hagopian.
Proc. Amer. Math. Soc. 31 (1972), 627-628
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MathSciNet review: 0286093

A holomorphic function having a discontinuous inverse

T. J. Suffridge.
Proc. Amer. Math. Soc. 31 (1972), 629-630
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MathSciNet review: 0284813

Pólya’s property $W$ and factorization—A short proof

Robert Ristroph.
Proc. Amer. Math. Soc. 31 (1972), 631-632
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MathSciNet review: 0288338

Cyclic vectors of induced representations

A. Hulanicki and T. Pytlik.
Proc. Amer. Math. Soc. 31 (1972), 633-634
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MathSciNet review: 0289717

Spherical images of convex surfaces

M. do Carmo and B. Lawson.
Proc. Amer. Math. Soc. 31 (1972), 635-636
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MathSciNet review: 0293548

Vanishing of Stiefel-Whitney classes

W. A. Sutherland.
Proc. Amer. Math. Soc. 31 (1972), 637
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MathSciNet review: 0292081

Erratum to Volume 27; Erratum to Volume 29

Proc. Amer. Math. Soc. 31 (1972), 638-638
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