Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 32, Number 1
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Conjugacy separability of groups of integer matrices
Peter F. Stebe
Proc. Amer. Math. Soc. 32 (1972), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1972-0289666-X
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Jacobi’s bound for first order difference equations
Barbara A. Lando
Proc. Amer. Math. Soc. 32 (1972), 8-12
DOI: https://doi.org/10.1090/S0002-9939-1972-0289474-X
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A new result concerning the structure of odd perfect numbers
Peter Hagis and Wayne L. McDaniel
Proc. Amer. Math. Soc. 32 (1972), 13-15
DOI: https://doi.org/10.1090/S0002-9939-1972-0292740-5
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On semilocal $\textrm {OP}$-rings
Yukitoshi Hinohara
Proc. Amer. Math. Soc. 32 (1972), 16-20
DOI: https://doi.org/10.1090/S0002-9939-1972-0289502-1
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On the Frattini subgroup of the generalized free product with amalgamation
D. Ž. Djoković and C. Y. Tang
Proc. Amer. Math. Soc. 32 (1972), 21-23
DOI: https://doi.org/10.1090/S0002-9939-1972-0289656-7
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The hyperquasicenter of a finite group. II
N. P. Mukherjee
Proc. Amer. Math. Soc. 32 (1972), 24-28
DOI: https://doi.org/10.1090/S0002-9939-1972-0296155-5
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Hadamard designs
Edward Spence
Proc. Amer. Math. Soc. 32 (1972), 29-31
DOI: https://doi.org/10.1090/S0002-9939-1972-0299506-0
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On subalgebra lattices of universal algebras
A. A. Iskander
Proc. Amer. Math. Soc. 32 (1972), 32-36
DOI: https://doi.org/10.1090/S0002-9939-1972-0292733-8
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Elements of maximal order in finite $p$-groups
Guy T. Hogan
Proc. Amer. Math. Soc. 32 (1972), 37-41
DOI: https://doi.org/10.1090/S0002-9939-1972-0289645-2
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A simple proof of the quintuple product identity
L. Carlitz and M. V. Subbarao
Proc. Amer. Math. Soc. 32 (1972), 42-44
DOI: https://doi.org/10.1090/S0002-9939-1972-0289316-2
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Factorizations of nonnegative matrices
T. L. Markham
Proc. Amer. Math. Soc. 32 (1972), 45-47
DOI: https://doi.org/10.1090/S0002-9939-1972-0289539-2
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A condition for a finite group to be cyclic
J. H. E. Cohn
Proc. Amer. Math. Soc. 32 (1972), 48
DOI: https://doi.org/10.1090/S0002-9939-1972-0289623-3
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Regular modules
David J. Fieldhouse
Proc. Amer. Math. Soc. 32 (1972), 49-51
DOI: https://doi.org/10.1090/S0002-9939-1972-0292882-4
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Rings satisfying monomial identities
Mohan S. Putcha and Adil Yaqub
Proc. Amer. Math. Soc. 32 (1972), 52-56
DOI: https://doi.org/10.1090/S0002-9939-1972-0289569-0
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Structure of rings satisfying certain identities on commutators
Mohan S. Putcha, Robert S. Wilson and Adil Yaqub
Proc. Amer. Math. Soc. 32 (1972), 57-62
DOI: https://doi.org/10.1090/S0002-9939-1972-0291219-4
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Critically $n$-connected graphs
Gary Chartrand, Agnis Kaugars and Don R. Lick
Proc. Amer. Math. Soc. 32 (1972), 63-68
DOI: https://doi.org/10.1090/S0002-9939-1972-0290999-1
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The number of isotype and $l$-pure subgroups of an abelian $p$-group
Paul Hill
Proc. Amer. Math. Soc. 32 (1972), 69-74
DOI: https://doi.org/10.1090/S0002-9939-1972-0291282-0
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Cohomological dimension and global dimension of algebras
Joseph A. Wehlen
Proc. Amer. Math. Soc. 32 (1972), 75-80
DOI: https://doi.org/10.1090/S0002-9939-1972-0291226-1
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Left perfect rings that are right perfect and a characterization of Steinitz rings
William H. Rant
Proc. Amer. Math. Soc. 32 (1972), 81-84
DOI: https://doi.org/10.1090/S0002-9939-1972-0289571-9
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On self-injective group rings
G. R. Mason
Proc. Amer. Math. Soc. 32 (1972), 85-86
DOI: https://doi.org/10.1090/S0002-9939-1972-0292959-3
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A vanishing theorem for cohomology
J. L. Alperin and Daniel Gorenstein
Proc. Amer. Math. Soc. 32 (1972), 87-88
DOI: https://doi.org/10.1090/S0002-9939-1972-0291293-5
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A characterization of $p$-reductive Lie algebras
Robert Lee Wilson
Proc. Amer. Math. Soc. 32 (1972), 89-90
DOI: https://doi.org/10.1090/S0002-9939-1972-0291238-8
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On functions of bounded rotation
J. W. Noonan
Proc. Amer. Math. Soc. 32 (1972), 91-101
DOI: https://doi.org/10.1090/S0002-9939-1972-0291434-X
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Fubini theorems for Orlicz spaces of Lebesgue-Bochner measurable functions
Vernon Zander
Proc. Amer. Math. Soc. 32 (1972), 102-110
DOI: https://doi.org/10.1090/S0002-9939-1972-0291791-4
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Approximation of commuting transformations
M. A. Akcoglu and R. V. Chacon
Proc. Amer. Math. Soc. 32 (1972), 111-119
DOI: https://doi.org/10.1090/S0002-9939-1972-0289745-7
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Coercive inequalities for certain classes of bounded regions
James M. Newman
Proc. Amer. Math. Soc. 32 (1972), 120-126
DOI: https://doi.org/10.1090/S0002-9939-1972-0296480-8
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Bounded limits of analytic functions
A. M. Davie
Proc. Amer. Math. Soc. 32 (1972), 127-133
DOI: https://doi.org/10.1090/S0002-9939-1972-0293069-1
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Solutions of $(ry^{(n)})^{(n)} + qy = 0$ of class $\mathcal {L}_{p}[0, \infty )$
Don Hinton
Proc. Amer. Math. Soc. 32 (1972), 134-138
DOI: https://doi.org/10.1090/S0002-9939-1972-0288348-8
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Surfaces of revolution with monotonic increasing curvature and an application to the equation $\Delta u=1-K e^{2u}$ on $S^{2}$
Jerry L. Kazdan and Frank W. Warner
Proc. Amer. Math. Soc. 32 (1972), 139-141
DOI: https://doi.org/10.1090/S0002-9939-1972-0290309-X
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The abscissa of absolute summability of Laplace integrals
Godfrey L. Isaacs
Proc. Amer. Math. Soc. 32 (1972), 142-146
DOI: https://doi.org/10.1090/S0002-9939-1972-0290040-0
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Derivation of the Hopf-Cole solution to Burgers’ equation by stochastic integrals
S. I. Rosencrans
Proc. Amer. Math. Soc. 32 (1972), 147-149
DOI: https://doi.org/10.1090/S0002-9939-1972-0289953-5
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Simultaneous approximation and interpolation in $l_{1}$
Joseph M. Lambert
Proc. Amer. Math. Soc. 32 (1972), 150-152
DOI: https://doi.org/10.1090/S0002-9939-1972-0291706-9
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On the radius of convexity and starlikeness of univalent functions
S. K. Bajpai and R. S. L. Srivastava
Proc. Amer. Math. Soc. 32 (1972), 153-160
DOI: https://doi.org/10.1090/S0002-9939-1972-0294617-8
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Strongly dissipative operators and nonlinear equations in a Fréchet space
R. H. Martin
Proc. Amer. Math. Soc. 32 (1972), 161-168
DOI: https://doi.org/10.1090/S0002-9939-1972-0295163-8
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The Wiener closure theorems for abstract Wiener spaces
J. Kuelbs and V. Mandrekar
Proc. Amer. Math. Soc. 32 (1972), 169-178
DOI: https://doi.org/10.1090/S0002-9939-1972-0293053-8
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Generating functions for Jacobi and related polynomials
I. A. Khan
Proc. Amer. Math. Soc. 32 (1972), 179-186
DOI: https://doi.org/10.1090/S0002-9939-1972-0348161-X
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The convergence of rational functions of best approximation to the exponential function. II
E. B. Saff
Proc. Amer. Math. Soc. 32 (1972), 187-194
DOI: https://doi.org/10.1090/S0002-9939-1972-0294656-7
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Bounded, conservative, linear operators and the maximal group
E. P. Kelly and D. A. Hogan
Proc. Amer. Math. Soc. 32 (1972), 195-200
DOI: https://doi.org/10.1090/S0002-9939-1972-0290136-3
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On integrable and bounded automorphic forms. II
T. A. Metzger and K. V. Rajeswara Rao
Proc. Amer. Math. Soc. 32 (1972), 201-204
DOI: https://doi.org/10.1090/S0002-9939-1972-0293085-X
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An example in the theory of well-bounded operators
H. R. Dowson and P. G. Spain
Proc. Amer. Math. Soc. 32 (1972), 205-208
DOI: https://doi.org/10.1090/S0002-9939-1972-0288615-8
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Time-variable singularities for solutions of the heat equation
D. V. Widder
Proc. Amer. Math. Soc. 32 (1972), 209-214
DOI: https://doi.org/10.1090/S0002-9939-1972-0294906-7
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Partially-orthogonal polynomials
Paul P. Rowe
Proc. Amer. Math. Soc. 32 (1972), 215-220
DOI: https://doi.org/10.1090/S0002-9939-1972-0290024-2
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On the Bloch-Nevanlinna problem
Liang-shin Hahn
Proc. Amer. Math. Soc. 32 (1972), 221-224
DOI: https://doi.org/10.1090/S0002-9939-1972-0293105-2
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An elementary proof of a Radon-Nikodým theorem for finitely additive set functions
Jan Pachl
Proc. Amer. Math. Soc. 32 (1972), 225-228
DOI: https://doi.org/10.1090/S0002-9939-1972-0293045-9
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On a problem of Erdős concerning the zeros of the derivatives of an entire function
K. F. Barth and W. J. Schneider
Proc. Amer. Math. Soc. 32 (1972), 229-232
DOI: https://doi.org/10.1090/S0002-9939-1972-0293089-7
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On the absolute Nörlund summability factors of infinite series
S. M. Mazhar
Proc. Amer. Math. Soc. 32 (1972), 233-236
DOI: https://doi.org/10.1090/S0002-9939-1972-0288452-4
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Convolution of $L(p, q)$ functions
Anthony P. Blozinski
Proc. Amer. Math. Soc. 32 (1972), 237-240
DOI: https://doi.org/10.1090/S0002-9939-1972-0288526-8
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Respresentations of strongly amenable $C^{\ast }$-algebras
John Bunce
Proc. Amer. Math. Soc. 32 (1972), 241-246
DOI: https://doi.org/10.1090/S0002-9939-1972-0295091-8
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Second and third order boundary value problems
Keith Schrader
Proc. Amer. Math. Soc. 32 (1972), 247-252
DOI: https://doi.org/10.1090/S0002-9939-1972-0291548-4
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A small boundary for $H^{\infty }$ on the polydisc
R. Michael Range
Proc. Amer. Math. Soc. 32 (1972), 253-255
DOI: https://doi.org/10.1090/S0002-9939-1972-0290115-6
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A flag transitive plane of order $49$
M. L. Narayana Rao
Proc. Amer. Math. Soc. 32 (1972), 256-262
DOI: https://doi.org/10.1090/S0002-9939-1972-0290244-7
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Submanifolds of Euclidean space with parallel second fundamental form.
Jaak Vilms
Proc. Amer. Math. Soc. 32 (1972), 263-267
DOI: https://doi.org/10.1090/S0002-9939-1972-0290298-8
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A generalization of Kolmogorov’s law of the iterated logarithm
R. J. Tomkins
Proc. Amer. Math. Soc. 32 (1972), 268-274
DOI: https://doi.org/10.1090/S0002-9939-1972-0292142-1
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On the equivalence of Gaussian processes with factorable covariance functions
W. J. Park
Proc. Amer. Math. Soc. 32 (1972), 275-279
DOI: https://doi.org/10.1090/S0002-9939-1972-0290444-6
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A characterization of oscillatory processes and their prediction
V. Mandrekar
Proc. Amer. Math. Soc. 32 (1972), 280-284
DOI: https://doi.org/10.1090/S0002-9939-1972-0307310-X
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Note relating Bochner integrals and reproducing kernels to series expansions on a Gaussian Banach space
Raoul D. LePage
Proc. Amer. Math. Soc. 32 (1972), 285-288
DOI: https://doi.org/10.1090/S0002-9939-1972-0296987-3
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Finite groups acting on spheres
John David Miller
Proc. Amer. Math. Soc. 32 (1972), 289-293
DOI: https://doi.org/10.1090/S0002-9939-1972-0288783-8
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An embedding characterization of almost realcompact spaces
Z. Frolík and Chen-tung Liu
Proc. Amer. Math. Soc. 32 (1972), 294-298
DOI: https://doi.org/10.1090/S0002-9939-1972-0290334-9
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Uniform boundedness in metric spaces
James D. Stein
Proc. Amer. Math. Soc. 32 (1972), 299-303
DOI: https://doi.org/10.1090/S0002-9939-1972-0290344-1
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A characterization of distal and point-distal minimal transformation groups
Joseph F. Kent
Proc. Amer. Math. Soc. 32 (1972), 304-308
DOI: https://doi.org/10.1090/S0002-9939-1972-0288744-9
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A nonparacompact space which admits a closure-preserving cover of compact sets
H. B. Potoczny
Proc. Amer. Math. Soc. 32 (1972), 309-311
DOI: https://doi.org/10.1090/S0002-9939-1972-0288727-9
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On two problems of Harris concerning RC-proximities
P. L. Sharma and S. A. Naimpally
Proc. Amer. Math. Soc. 32 (1972), 312
DOI: https://doi.org/10.1090/S0002-9939-1972-0292022-1
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A short proof that metric spaces are realcompact
M. D. Rice
Proc. Amer. Math. Soc. 32 (1972), 313-314
DOI: https://doi.org/10.1090/S0002-9939-1972-0288724-3
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An alternative construction of $\beta X$ and $\upsilon X$
Richard E. Chandler
Proc. Amer. Math. Soc. 32 (1972), 315-318
DOI: https://doi.org/10.1090/S0002-9939-1972-0292032-4
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Twist-spun torus knots
C. McA. Gordon
Proc. Amer. Math. Soc. 32 (1972), 319-322
DOI: https://doi.org/10.1090/S0002-9939-1972-0288752-8
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Residual finiteness of surface groups
John Hempel
Proc. Amer. Math. Soc. 32 (1972), 323
DOI: https://doi.org/10.1090/S0002-9939-1972-0295352-2
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The tangent microbundle of a suitable manifold
Ronald J. Stern
Proc. Amer. Math. Soc. 32 (1972), 324-326
DOI: https://doi.org/10.1090/S0002-9939-1972-0292087-7
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On the embedding $CP_{n}\subset CP_{2n}$
S. Feder
Proc. Amer. Math. Soc. 32 (1972), 327-328
DOI: https://doi.org/10.1090/S0002-9939-1972-0292090-7
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On operators with rational resolvent
Anthony F. Ruston
Proc. Amer. Math. Soc. 32 (1972), 329-330
DOI: https://doi.org/10.1090/S0002-9939-1972-0301527-6
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An invariant subspace theorem
Mary R. Embry
Proc. Amer. Math. Soc. 32 (1972), 331-332
DOI: https://doi.org/10.1090/S0002-9939-1972-0288610-9
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