Contents of Volume 4, Number 2

All articles in this issue are freely accessible.

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Transitive sets of homomorphisms

W. R. Scott.
Proc. Amer. Math. Soc. 4 (1953), 175-177
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MathSciNet review: 0053112

A note on Bernoulli and Euler numbers of order $±p$

L. Carlitz.
Proc. Amer. Math. Soc. 4 (1953), 178-183
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MathSciNet review: 0055372

A note on the multiplication formulas for the Bernoulli and Euler polynomials

L. Carlitz.
Proc. Amer. Math. Soc. 4 (1953), 184-188
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MathSciNet review: 0052569

Note on $S$-numbers

W. J. LeVeque.
Proc. Amer. Math. Soc. 4 (1953), 189-190
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MathSciNet review: 0054659

On spectral permanence for certain Banach algebras

C. E. Rickart.
Proc. Amer. Math. Soc. 4 (1953), 191-196
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MathSciNet review: 0052700

On the embedding of Birkhoff-Witt rings in quotient fields

Dov Tamari.
Proc. Amer. Math. Soc. 4 (1953), 197-202
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MathSciNet review: 0053920

Zero divisors and commutativity of rings

J. E. McLaughlin and Alex Rosenberg.
Proc. Amer. Math. Soc. 4 (1953), 203-212
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MathSciNet review: 0053081

Dual modules over a valuation ring. I

Irving Kaplansky.
Proc. Amer. Math. Soc. 4 (1953), 213-219
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MathSciNet review: 0053092

A proof of Hessenberg’s theorem

Arno Cronheim.
Proc. Amer. Math. Soc. 4 (1953), 219-221
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MathSciNet review: 0053531

On inscribing $n$-dimensional sets in a regular $n$-simplex

David Gale.
Proc. Amer. Math. Soc. 4 (1953), 222-225
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MathSciNet review: 0053534

Planar line families. I

P. C. Hammer and Andrew Sobczyk.
Proc. Amer. Math. Soc. 4 (1953), 226-233
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MathSciNet review: 0053533

Continua which are the sum of a finite number of indecomposable continua

C. E. Burgess.
Proc. Amer. Math. Soc. 4 (1953), 234-239
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MathSciNet review: 0054244

Concerning continuous collections of continuous curves

Mary-Elizabeth Hamstrom.
Proc. Amer. Math. Soc. 4 (1953), 240-243
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MathSciNet review: 0053498

On general cohomology theory

Tibor Rado.
Proc. Amer. Math. Soc. 4 (1953), 244-246
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MathSciNet review: 0053506

Effectiveness at the origin of the sum set of basic sets of polynomials

Ragy H. Makar and Bushra H. Makar.
Proc. Amer. Math. Soc. 4 (1953), 246-250
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MathSciNet review: 0052570

Derived and integral sets of basic sets of polynomials

M. N. Mikhail.
Proc. Amer. Math. Soc. 4 (1953), 251-259
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MathSciNet review: 0052571

The multiplicity of a class of perfect sets

Paul Civin and H. E. Chrestenson.
Proc. Amer. Math. Soc. 4 (1953), 260-263
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MathSciNet review: 0052543

Monotonic subsequences

Joseph B. Kruskal.
Proc. Amer. Math. Soc. 4 (1953), 264-274
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MathSciNet review: 0053256

A set of generating functions for Bessel polynomials

Fred Brafman.
Proc. Amer. Math. Soc. 4 (1953), 275-277
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MathSciNet review: 0054100

The rotation theorem for starlike univalent functions

A. W. Goodman.
Proc. Amer. Math. Soc. 4 (1953), 278-286
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MathSciNet review: 0053221

Line integral approximation of double integrals

H. D. Brunk and G. M. Ewing.
Proc. Amer. Math. Soc. 4 (1953), 287-295
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MathSciNet review: 0053195

A modified initial condition for Cauchy’s existence theorem

J. Pendleton Brewster.
Proc. Amer. Math. Soc. 4 (1953), 296-302
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MathSciNet review: 0054813

Recent investigations of the separation of Laplace’s equation

Parry Moon and Domina Eberle Spencer.
Proc. Amer. Math. Soc. 4 (1953), 302-307
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MathSciNet review: 0053335

Note on Dirichlet series. IV. On the singularities of Dirichlet series

Chuji Tanaka.
Proc. Amer. Math. Soc. 4 (1953), 308-309
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MathSciNet review: 0053263

Values of entire functions represented by gap Dirichlet series

F. Sunyer i Balaguer.
Proc. Amer. Math. Soc. 4 (1953), 310-322
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MathSciNet review: 0053214

A note on the reciprocal of a Fourier series

A. Edrei and G. Szegö.
Proc. Amer. Math. Soc. 4 (1953), 323-329
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MathSciNet review: 0053267

A Neumann series for the product of two Whittaker functions

Peter Henrici.
Proc. Amer. Math. Soc. 4 (1953), 329-334
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MathSciNet review: 0054105