Contents of Volume 8, Number 4

All articles in this issue are freely accessible.

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Theorems on compact totally disconnected semigroups and lattices

Katsumi Numakura.
Proc. Amer. Math. Soc. 8 (1957), 623-626
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MathSciNet review: 0087032

On the power of a prime dividing the order of a group of automorphisms

J. E. Adney.
Proc. Amer. Math. Soc. 8 (1957), 627-633
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MathSciNet review: 0087654

A note on finite unions of ideals and subgroups

Neal H. McCoy.
Proc. Amer. Math. Soc. 8 (1957), 633-637
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MathSciNet review: 0086803

Notes on a paper by Sanov

Ruth Rebekka Struik.
Proc. Amer. Math. Soc. 8 (1957), 638-641
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MathSciNet review: 0086060

Commutative subdirectly irreducible rings

Nathan Divinsky.
Proc. Amer. Math. Soc. 8 (1957), 642-648
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MathSciNet review: 0086799

A generalization of Hilbert’s Nullstellensatz

S. A. Amitsur.
Proc. Amer. Math. Soc. 8 (1957), 649-656
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MathSciNet review: 0087644

A note on the Stone-Weierstrass theorem for quaternions

John C. Holladay.
Proc. Amer. Math. Soc. 8 (1957), 656-657
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MathSciNet review: 0087047

On regular group rings

Maurice Auslander.
Proc. Amer. Math. Soc. 8 (1957), 658-664
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MathSciNet review: 0087670

A characterization of some metacyclic groups

Eugene Schenkman.
Proc. Amer. Math. Soc. 8 (1957), 664-667
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MathSciNet review: 0087653

Jordan homomorphisms and right alternative rings

M. F. Smiley.
Proc. Amer. Math. Soc. 8 (1957), 668-671
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MathSciNet review: 0086800

On an axiom of Bourbaki

Oswald Wyler.
Proc. Amer. Math. Soc. 8 (1957), 672
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MathSciNet review: 0087611

On a class of lattice-ordered rings

Barron Brainerd.
Proc. Amer. Math. Soc. 8 (1957), 673-683
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MathSciNet review: 0089179

Compactness of the structure space of a ring

M. Schreiber.
Proc. Amer. Math. Soc. 8 (1957), 684-685
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MathSciNet review: 0087641

The nonexistence of a certain type of simple groups of odd order

Michio Suzuki.
Proc. Amer. Math. Soc. 8 (1957), 686-695
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MathSciNet review: 0086818

Note on a theorem of Schreier

A. Karrass and D. Solitar.
Proc. Amer. Math. Soc. 8 (1957), 696-697
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MathSciNet review: 0086813

Notes on linearly compact algebras

Ti Yen.
Proc. Amer. Math. Soc. 8 (1957), 698-701
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MathSciNet review: 0086806

On the zeros of the derivatives of an entire function

A. Edrei and G. R. MacLane.
Proc. Amer. Math. Soc. 8 (1957), 702-706
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MathSciNet review: 0087741

An elementary proof of the closure in $L$ of translations of $e^{-x^{2}}$, and the Borel Tauberian theorem

H. R. Pitt.
Proc. Amer. Math. Soc. 8 (1957), 706-707
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MathSciNet review: 0086916

Remarks on a matrix transformation for linear differential equations

William T. Reid.
Proc. Amer. Math. Soc. 8 (1957), 708-712
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MathSciNet review: 0086962

An irreducible unitary representation of a compact group is finite dimensional

Paul Koosis.
Proc. Amer. Math. Soc. 8 (1957), 712-715
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MathSciNet review: 0087888

A property of Hurwitz polynomials and some associated inequalities for Fourier transforms

Armen H. Zemanian.
Proc. Amer. Math. Soc. 8 (1957), 716-723
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MathSciNet review: 0086935

A note on the span of translations in $L^{p}$

C. S. Herz.
Proc. Amer. Math. Soc. 8 (1957), 724-727
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MathSciNet review: 0088604

The spectra of bounded linear operators on the sequence spaces

Charles J. A. Halberg.
Proc. Amer. Math. Soc. 8 (1957), 728-732
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MathSciNet review: 0088704

On the normality of an analytic operator

John Butler.
Proc. Amer. Math. Soc. 8 (1957), 733-740
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MathSciNet review: 0088699

On a theorem of Magnus

Edwin Hewitt and Eugene P. Wigner.
Proc. Amer. Math. Soc. 8 (1957), 740-744
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MathSciNet review: 0086932

On canonical constructions. IV

Murray Gerstenhaber.
Proc. Amer. Math. Soc. 8 (1957), 745-749
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MathSciNet review: 0132787

Fixed points for certain noncontinuous transformations

O. H. Hamilton.
Proc. Amer. Math. Soc. 8 (1957), 750-756
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MathSciNet review: 0087095

A new sufficient condition for periodic solutions of weakly nonlinear differential systems

L. Cesari and J. K. Hale.
Proc. Amer. Math. Soc. 8 (1957), 757-764
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MathSciNet review: 0086209

On quasi-orthogonal polynomials

T. S. Chihara.
Proc. Amer. Math. Soc. 8 (1957), 765-767
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MathSciNet review: 0086898

On square roots of normal operators

C. R. Putnam.
Proc. Amer. Math. Soc. 8 (1957), 768-769
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MathSciNet review: 0088698

On $n$-metacaloric functions

Avner Friedman.
Proc. Amer. Math. Soc. 8 (1957), 770-776
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MathSciNet review: 0087869

On closed convex surfaces

V. G. Grove.
Proc. Amer. Math. Soc. 8 (1957), 777-786
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MathSciNet review: 0086337

On Poincaré’s last geometrical theorem

Shlomo Sternberg.
Proc. Amer. Math. Soc. 8 (1957), 787-789
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MathSciNet review: 0088719

Convex sets and nearest points

R. R. Phelps.
Proc. Amer. Math. Soc. 8 (1957), 790-797
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MathSciNet review: 0087897

Mobs, trees, and fixed points

L. E. Ward.
Proc. Amer. Math. Soc. 8 (1957), 798-804
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MathSciNet review: 0097036

On the differentiability of isometries

Richard S. Palais.
Proc. Amer. Math. Soc. 8 (1957), 805-807
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MathSciNet review: 0088000

Fixed points of symmetric product mappings

Charles N. Maxwell.
Proc. Amer. Math. Soc. 8 (1957), 808-815
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MathSciNet review: 0087946

Higher dimensional indecomposable connected sets

Paul M. Swingle.
Proc. Amer. Math. Soc. 8 (1957), 816-819
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MathSciNet review: 0089404

The ring $C(X,R)$ considered as a subring of the ring of all real-valued functions

Lyle E. Pursell.
Proc. Amer. Math. Soc. 8 (1957), 820-821
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MathSciNet review: 0087071

Another note on paracompact spaces

E. Michael.
Proc. Amer. Math. Soc. 8 (1957), 822-828
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MathSciNet review: 0087079

Compact mappings

Edwin Halfar.
Proc. Amer. Math. Soc. 8 (1957), 828-830
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MathSciNet review: 0089388