Contents of Volume 57, Number 1

All articles in this issue are freely accessible.

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Implicitly elementary integrals

Robert H. Risch.
Proc. Amer. Math. Soc. 57 (1976), 1-7
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MathSciNet review: 0409427

Primitive ideals in group rings of polycyclic groups

Robert L. Snider.
Proc. Amer. Math. Soc. 57 (1976), 8-10
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MathSciNet review: 0414622

A sheaf representation of distributive pseudocomplemented lattices

William H. Cornish.
Proc. Amer. Math. Soc. 57 (1976), 11-15
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MathSciNet review: 0424630

Kernels in lattice-ordered groups

Richard D. Byrd and Justin T. Lloyd.
Proc. Amer. Math. Soc. 57 (1976), 16-18
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MathSciNet review: 0406900

On a problem of G. Grätzer

Tibor Katriňák.
Proc. Amer. Math. Soc. 57 (1976), 19-24
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MathSciNet review: 0401593

The largest proper variety of lattice ordered groups

W. Charles Holland.
Proc. Amer. Math. Soc. 57 (1976), 25-28
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MathSciNet review: 0406902

Diophantine inequalities with mixed powers $(\textrm {mod}$ $1)$

R. J. Cook.
Proc. Amer. Math. Soc. 57 (1976), 29-34
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MathSciNet review: 0401647

Artin root numbers for real characters

Jerry Gechter.
Proc. Amer. Math. Soc. 57 (1976), 35-38
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MathSciNet review: 0417129

Ext à la Yoneda without the Schanuel lemma

Rudolf Fritsch.
Proc. Amer. Math. Soc. 57 (1976), 39-42
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MathSciNet review: 0480701

Lower Frattini series in finitely generated soluble groups

John C. Lennox and James Wiegold.
Proc. Amer. Math. Soc. 57 (1976), 43-44
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MathSciNet review: 0414711

Partitions with congruence conditions

M. M. Robertson.
Proc. Amer. Math. Soc. 57 (1976), 45-49
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MathSciNet review: 0404184

Ergodic theorems of weak mixing type

Lee K. Jones and Michael Lin.
Proc. Amer. Math. Soc. 57 (1976), 50-52
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MathSciNet review: 0405134

On functions with summable approximate Peano derivative

Cheng Ming Lee.
Proc. Amer. Math. Soc. 57 (1976), 53-57
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MathSciNet review: 0399379

One dimensional perturbations of compact operators

Harkrishan Vasudeva.
Proc. Amer. Math. Soc. 57 (1976), 58-60
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MathSciNet review: 0445318

The structure of regulated functions

Casper Goffman, Gadi Moran and Daniel Waterman.
Proc. Amer. Math. Soc. 57 (1976), 61-65
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MathSciNet review: 0401993

A short proof of Schoenberg’s theorem

Paul Ressel.
Proc. Amer. Math. Soc. 57 (1976), 66-68
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MathSciNet review: 0405007

Sur les fonctions de deux variables dont les coupes sont des dérivées

Zbigniew Grande.
Proc. Amer. Math. Soc. 57 (1976), 69-74
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MathSciNet review: 0419702

On univalent polynomials

J. R. Quine.
Proc. Amer. Math. Soc. 57 (1976), 75-78
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MathSciNet review: 0402024

Nonatomic Banach lattices can have $l_ 1$ as a dual space

E. Lacey and P. Wojtaszczyk.
Proc. Amer. Math. Soc. 57 (1976), 79-84
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MathSciNet review: 0402459

Extreme operators in the unit ball of $L(C(X),C(Y))$ over the complex field

Alan Gendler.
Proc. Amer. Math. Soc. 57 (1976), 85-88
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MathSciNet review: 0405173

A compactness condition for solutions of ordinary differential equations

L. K. Jackson.
Proc. Amer. Math. Soc. 57 (1976), 89-92
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MathSciNet review: 0404743

A Nagumo condition for ordinary differential equations

L. K. Jackson.
Proc. Amer. Math. Soc. 57 (1976), 93-96
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MathSciNet review: 0404761

A characterization of $F^{+}\cap N$

M. Stoll.
Proc. Amer. Math. Soc. 57 (1976), 97-98
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MathSciNet review: 0399471

A class of spectral sets

C. Robert Warner.
Proc. Amer. Math. Soc. 57 (1976), 99-102
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MathSciNet review: 0410275

Solvability of convolution equations in $\mathcal {K}’_1$

S. Sznajder and Z. Zieleźny.
Proc. Amer. Math. Soc. 57 (1976), 103-106
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MathSciNet review: 0410367

Subnormal shifts with operator-valued weights

P. Ghatage.
Proc. Amer. Math. Soc. 57 (1976), 107-108
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MathSciNet review: 0399931

A generalization of the Wiener-Lévy theorem applicable to some Volterra equations

G. S. Jordan and Robert L. Wheeler.
Proc. Amer. Math. Soc. 57 (1976), 109-114
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MathSciNet review: 0405023

A generalization of a theorem by Bochner

Dorte Olesen.
Proc. Amer. Math. Soc. 57 (1976), 115-118
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MathSciNet review: 0512385

Strongly strictly cyclic weighted shifts

James H. Hedlund.
Proc. Amer. Math. Soc. 57 (1976), 119-121
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MathSciNet review: 0402530

A geometric inequality for plane curves with restricted curvature

G. D. Chakerian, H. H. Johnson and A. Vogt.
Proc. Amer. Math. Soc. 57 (1976), 122-126
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MathSciNet review: 0402611

Characterizing $E_{3}$ (the largest countable $\Pi ^{1}_{3}$ set)

David Guaspari and Leo Harrington.
Proc. Amer. Math. Soc. 57 (1976), 127-129
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MathSciNet review: 0401476

Uniform distribution on locally compact groups

Harald Rindler.
Proc. Amer. Math. Soc. 57 (1976), 130-132
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MathSciNet review: 0417094

A remark on irreducible spaces

J. C. Smith.
Proc. Amer. Math. Soc. 57 (1976), 133-139
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MathSciNet review: 0405353

On the problems of determining knots by their complements and knot complements by their groups

Jonathan Simon.
Proc. Amer. Math. Soc. 57 (1976), 140-142
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MathSciNet review: 0402719

A new proof of the Reidemeister-Singer theorem on stable equivalence of Heegaard splittings

Robert Craggs.
Proc. Amer. Math. Soc. 57 (1976), 143-147
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MathSciNet review: 0410749

On the density character of closed subgroups

John Ginsburg, M. Rajagopalan and Victor Saks.
Proc. Amer. Math. Soc. 57 (1976), 148-150
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MathSciNet review: 0404513

On the cellularity of $\beta X-X$

John Ginsburg and R. Grant Woods.
Proc. Amer. Math. Soc. 57 (1976), 151-154
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MathSciNet review: 0407789

Central approximate units in a certain ideal of $L^{1}(G)$

Ernst Kotzmann and Harald Rindler.
Proc. Amer. Math. Soc. 57 (1976), 155-158
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MathSciNet review: 0404988

Locally compact subgroups of metrizable topological abelian groups

R. C. Hooper.
Proc. Amer. Math. Soc. 57 (1976), 159-164
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MathSciNet review: 0409710

The signature and arithmetic genus of certain aspherical manifolds

F. Thomas Farrell.
Proc. Amer. Math. Soc. 57 (1976), 165-168
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MathSciNet review: 0407855

A note on the ergodic properties of homeomorphisms

Robert Sine.
Proc. Amer. Math. Soc. 57 (1976), 169-172
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MathSciNet review: 0402706

Small sets of homeomorphisms which control manifolds

Norman Levitt.
Proc. Amer. Math. Soc. 57 (1976), 173-178
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MathSciNet review: 0405450

Relating group topologies by their continuous points

Kevin J. Sharpe.
Proc. Amer. Math. Soc. 57 (1976), 179-182
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MathSciNet review: 0422488

Countable paracompactness, normality, and Moore spaces

Michael L. Wage.
Proc. Amer. Math. Soc. 57 (1976), 183-188
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MathSciNet review: 0405364