Proceedings of the American Mathematical Society

Contents of Volume 30, Number 1
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Right $\textrm {LCM}$ domains

Raymond A. Beauregard

Proc. Amer. Math. Soc. 30 (1971), 1-7

DOI: https://doi.org/10.1090/S0002-9939-1971-0279125-1

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Sheltered modules and rings

Seth Warner

Proc. Amer. Math. Soc. 30 (1971), 8-14

DOI: https://doi.org/10.1090/S0002-9939-1971-0281760-1

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Geometrical realization of combinatorial geometries

J. H. Mason

Proc. Amer. Math. Soc. 30 (1971), 15-21

DOI: https://doi.org/10.1090/S0002-9939-1971-0309769-X

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The word and conjugacy problems for the knot group of any tame, prime, alternating knot

C. M. Weinbaum

Proc. Amer. Math. Soc. 30 (1971), 22-26

DOI: https://doi.org/10.1090/S0002-9939-1971-0279169-X

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Bounds for the determinant of the sum of hermitian matrices

Miroslav Fiedler

Proc. Amer. Math. Soc. 30 (1971), 27-31

DOI: https://doi.org/10.1090/S0002-9939-1971-0286814-1

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Spectrum of $X$ satisfying $0\leq X^{p}\leq X$

Ralph Gellar

Proc. Amer. Math. Soc. 30 (1971), 32-36

DOI: https://doi.org/10.1090/S0002-9939-1971-0283542-3

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Embedding the dual of $\pi _{m}$ in the lattice of equational classes of commutative semigroups

Stanley Burris and Evelyn Nelson

Proc. Amer. Math. Soc. 30 (1971), 37-39

DOI: https://doi.org/10.1090/S0002-9939-1971-0285639-0

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Some radical properties of $s$-rings

Michael Rich

Proc. Amer. Math. Soc. 30 (1971), 40-42

DOI: https://doi.org/10.1090/S0002-9939-1971-0283034-1

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Principal elements of lattices of ideals

P. J. McCarthy

Proc. Amer. Math. Soc. 30 (1971), 43-45

DOI: https://doi.org/10.1090/S0002-9939-1971-0279080-4

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Products of normal supersolvable subgroups

D. K. Friesen

Proc. Amer. Math. Soc. 30 (1971), 46-48

DOI: https://doi.org/10.1090/S0002-9939-1971-0280590-4

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On a theorem of Malcev

Gérard Lallement

Proc. Amer. Math. Soc. 30 (1971), 49-54

DOI: https://doi.org/10.1090/S0002-9939-1971-0285646-8

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A free rank $4$ Hopf algebra with antipode of order $4$

David E. Radford

Proc. Amer. Math. Soc. 30 (1971), 55-58

DOI: https://doi.org/10.1090/S0002-9939-1971-0279161-5

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Rings generated by the inner-automorphisms of non-abelian groups

A. John Chandy

Proc. Amer. Math. Soc. 30 (1971), 59-60

DOI: https://doi.org/10.1090/S0002-9939-1971-0280519-9

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Note on the Kloosterman sum

Kenneth S. Williams

Proc. Amer. Math. Soc. 30 (1971), 61-62

DOI: https://doi.org/10.1090/S0002-9939-1971-0285501-3

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On rings with a higher derivation

Shizuka Satô

Proc. Amer. Math. Soc. 30 (1971), 63-68

DOI: https://doi.org/10.1090/S0002-9939-1971-0279139-1

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Some applications of the Turán-Kubilius inequality

R. L. Duncan

Proc. Amer. Math. Soc. 30 (1971), 69-72

DOI: https://doi.org/10.1090/S0002-9939-1971-0279056-7

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The conjugation representation and fusionless extensions

Edward Formanek

Proc. Amer. Math. Soc. 30 (1971), 73-74

DOI: https://doi.org/10.1090/S0002-9939-1971-0291312-5

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Endomorphisms of finitely presented modules

Gabriel Sabbagh

Proc. Amer. Math. Soc. 30 (1971), 75-78

DOI: https://doi.org/10.1090/S0002-9939-1971-0283015-8

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On the Arens product and annihilator algebras

Pak-ken Wong

Proc. Amer. Math. Soc. 30 (1971), 79-83

DOI: https://doi.org/10.1090/S0002-9939-1971-0281005-2

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Generalisation of the Muirhead-Rado inequality

D. E. Daykin

Proc. Amer. Math. Soc. 30 (1971), 84-86

DOI: https://doi.org/10.1090/S0002-9939-1971-0279255-4

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Property $L$ and direct integral decompositions of $W-\ast$algebras

Paul Willig

Proc. Amer. Math. Soc. 30 (1971), 87-91

DOI: https://doi.org/10.1090/S0002-9939-1971-0285920-5

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Nonoscillation properties of a nonlinear differential equation

Michael E. Hammett

Proc. Amer. Math. Soc. 30 (1971), 92-96

DOI: https://doi.org/10.1090/S0002-9939-1971-0279384-5

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Oscillation of nonlinear systems of matrix differential equations

A. G. Kartsatos

Proc. Amer. Math. Soc. 30 (1971), 97-101

DOI: https://doi.org/10.1090/S0002-9939-1971-0280798-8

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Unitary groups and differential operators

Robert M. Kauffman

Proc. Amer. Math. Soc. 30 (1971), 102-106

DOI: https://doi.org/10.1090/S0002-9939-1971-0282254-X

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Quasilinear systems with several periodic solutions

Jane Cronin

Proc. Amer. Math. Soc. 30 (1971), 107-111

DOI: https://doi.org/10.1090/S0002-9939-1971-0280803-9

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A criterion for disfocality

Pui-kei Wong

Proc. Amer. Math. Soc. 30 (1971), 112-114

DOI: https://doi.org/10.1090/S0002-9939-1971-0279365-1

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Topological algebras and Mackey topologies

Allan C. Cochran

Proc. Amer. Math. Soc. 30 (1971), 115-119

DOI: https://doi.org/10.1090/S0002-9939-1971-0291807-4

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A convergence question in $H^{p}$

Stephen Scheinberg

Proc. Amer. Math. Soc. 30 (1971), 120-124

DOI: https://doi.org/10.1090/S0002-9939-1971-0283206-6

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The Hardy class of a Bazilevič function and its derivative

Sanford S. Miller

Proc. Amer. Math. Soc. 30 (1971), 125-132

DOI: https://doi.org/10.1090/S0002-9939-1971-0288246-9

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On a theorem of Fell

Robert C. Busby

Proc. Amer. Math. Soc. 30 (1971), 133-140

DOI: https://doi.org/10.1090/S0002-9939-1971-0283583-6

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Continuity of systems of derivations on $F$-algebras

R. L. Carpenter

Proc. Amer. Math. Soc. 30 (1971), 141-146

DOI: https://doi.org/10.1090/S0002-9939-1971-0283574-5

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Approximations of the identity operator by semigroups of linear operators

A. Pazy

Proc. Amer. Math. Soc. 30 (1971), 147-150

DOI: https://doi.org/10.1090/S0002-9939-1971-0287362-5

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The failure in computable analysis of a classical existence theorem for differential equations

Oliver Aberth

Proc. Amer. Math. Soc. 30 (1971), 151-156

DOI: https://doi.org/10.1090/S0002-9939-1971-0302982-7

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Concerning upper semicontinuous decompositions of irreducible continua.

W. R. R. Transue, J. W. Hinrichsen and B. Fitzpatrick

Proc. Amer. Math. Soc. 30 (1971), 157-163

DOI: https://doi.org/10.1090/S0002-9939-1971-0279774-0

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A class of arcwise connected continua

Charles L. Hagopian

Proc. Amer. Math. Soc. 30 (1971), 164-168

DOI: https://doi.org/10.1090/S0002-9939-1971-0281164-1

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Tame polyhedra in wild cells and spheres

R. B. Sher

Proc. Amer. Math. Soc. 30 (1971), 169-174

DOI: https://doi.org/10.1090/S0002-9939-1971-0281178-1

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Conditions for continuity of certain open monotone functions

Melvin R. Hagan

Proc. Amer. Math. Soc. 30 (1971), 175-178

DOI: https://doi.org/10.1090/S0002-9939-1971-0279779-X

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Mappings of indecomposable continua

David P. Bellamy

Proc. Amer. Math. Soc. 30 (1971), 179-180

DOI: https://doi.org/10.1090/S0002-9939-1971-0287513-2

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On the immersion of an $n$-dimensional manifold in $n+1$-dimensional Euclidean space

Benjamin Halpern

Proc. Amer. Math. Soc. 30 (1971), 181-184

DOI: https://doi.org/10.1090/S0002-9939-1971-0286116-3

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Can a $2$-coherent Peano continuum separate $E^{3}$?

W. C. Chewning

Proc. Amer. Math. Soc. 30 (1971), 185-188

DOI: https://doi.org/10.1090/S0002-9939-1971-0288733-3

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Realcompactness and partitions of unity

G. De Marco and R. G. Wilson

Proc. Amer. Math. Soc. 30 (1971), 189-194

DOI: https://doi.org/10.1090/S0002-9939-1971-0281155-0

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On the centralizer of a subgroup of a Lie group

Dong Hoon Lee

Proc. Amer. Math. Soc. 30 (1971), 195-198

DOI: https://doi.org/10.1090/S0002-9939-1971-0283134-6

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Countable paracompactness in product spaces

Phillip Zenor

Proc. Amer. Math. Soc. 30 (1971), 199-201

DOI: https://doi.org/10.1090/S0002-9939-1971-0279769-7

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A note on the Blum-Hanson theorem

Lee Jones and Velimir Kuftinec

Proc. Amer. Math. Soc. 30 (1971), 202-203

DOI: https://doi.org/10.1090/S0002-9939-1971-0281023-4

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A short proof of the F. and M. Riesz theorem

Bernt K. Øksendal

Proc. Amer. Math. Soc. 30 (1971), 204

DOI: https://doi.org/10.1090/S0002-9939-1971-0279316-X

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