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 2
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A note on the uniqueness of rings of coefficients in polynomial rings
Paul Eakin and K. K. Kubota
Proc. Amer. Math. Soc. 32 (1972), 333-341
DOI: https://doi.org/10.1090/S0002-9939-1972-0297763-8
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Minimal presentations for certain metabelian groups
D. G. Searby and J. W. Wamsley
Proc. Amer. Math. Soc. 32 (1972), 342-348
DOI: https://doi.org/10.1090/S0002-9939-1972-0291263-7
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On the group indices of the parasymplectic group of level $F$
Tetsuo Kodama
Proc. Amer. Math. Soc. 32 (1972), 349-357
DOI: https://doi.org/10.1090/S0002-9939-1972-0289664-6
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Extension of algebraic theories
E. James Peake and Galen R. Peters
Proc. Amer. Math. Soc. 32 (1972), 358-362
DOI: https://doi.org/10.1090/S0002-9939-1972-0299651-X
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Positive transformations restricted to subspaces and inequalities among their proper values
A. R. Amir-Moéz and C. R. Perry
Proc. Amer. Math. Soc. 32 (1972), 363-367
DOI: https://doi.org/10.1090/S0002-9939-1972-0289537-9
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Representation of a binary quadratic form as a sum of two squares
Kenneth S. Williams
Proc. Amer. Math. Soc. 32 (1972), 368-370
DOI: https://doi.org/10.1090/S0002-9939-1972-0325536-6
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Injective hulls of certain $S$-systems over a semilattice
C. S. Johnson and F. R. McMorris
Proc. Amer. Math. Soc. 32 (1972), 371-375
DOI: https://doi.org/10.1090/S0002-9939-1972-0289687-7
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A characterization of general $\textrm {Z}.\textrm {P}.\textrm {I}.$-rings
Kathleen B. Levitz
Proc. Amer. Math. Soc. 32 (1972), 376-380
DOI: https://doi.org/10.1090/S0002-9939-1972-0294312-5
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Semigroups corresponding to algebroid branches in the plane
H. Bresinsky
Proc. Amer. Math. Soc. 32 (1972), 381-384
DOI: https://doi.org/10.1090/S0002-9939-1972-0291171-1
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Multivalued operations and universal coalgebra
Robert C. Davis
Proc. Amer. Math. Soc. 32 (1972), 385-388
DOI: https://doi.org/10.1090/S0002-9939-1972-0311826-X
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Generalized Ramsey theory for graphs. II. Small diagonal numbers
Václav Chvátal and Frank Harary
Proc. Amer. Math. Soc. 32 (1972), 389-394
DOI: https://doi.org/10.1090/S0002-9939-1972-0332559-X
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Continuous dependence on $A$ in the $D_{1}AD_{2}$ theorems
Richard Sinkhorn
Proc. Amer. Math. Soc. 32 (1972), 395-398
DOI: https://doi.org/10.1090/S0002-9939-1972-0297792-4
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Automorphism of a finite group scalar on the cosets of a subgroup
Saïd Sidki
Proc. Amer. Math. Soc. 32 (1972), 399-402
DOI: https://doi.org/10.1090/S0002-9939-1972-0301096-0
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Two new proofs of Lerch’s functional equation
Bruce C. Berndt
Proc. Amer. Math. Soc. 32 (1972), 403-408
DOI: https://doi.org/10.1090/S0002-9939-1972-0297721-3
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Constructions of disjoint Steiner triple systems
Jean Doyen
Proc. Amer. Math. Soc. 32 (1972), 409-416
DOI: https://doi.org/10.1090/S0002-9939-1972-0295928-2
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The converse to a theorem of Sharp on Gorenstein modules
Idun Reiten
Proc. Amer. Math. Soc. 32 (1972), 417-420
DOI: https://doi.org/10.1090/S0002-9939-1972-0296067-7
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On high order derivations of fields
J. N. Mordeson and B. Vinograde
Proc. Amer. Math. Soc. 32 (1972), 421-422
DOI: https://doi.org/10.1090/S0002-9939-1972-0289466-0
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The Boolean ring generated by a distributive lattice
S. J. Bernau
Proc. Amer. Math. Soc. 32 (1972), 423-424
DOI: https://doi.org/10.1090/S0002-9939-1972-0292728-4
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$K_{1}$ of a commutative von Neumann regular ring
Leslie G. Roberts
Proc. Amer. Math. Soc. 32 (1972), 425-426
DOI: https://doi.org/10.1090/S0002-9939-1972-0289497-0
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Embedding rational division algebras
Burton Fein
Proc. Amer. Math. Soc. 32 (1972), 427-429
DOI: https://doi.org/10.1090/S0002-9939-1972-0289568-9
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On the comparability of $A^{1/2}$ and $A^{\ast 1/2}$
Alan McIntosh
Proc. Amer. Math. Soc. 32 (1972), 430-434
DOI: https://doi.org/10.1090/S0002-9939-1972-0290169-7
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An inequality of Turán type for Jacobi polynomials
George Gasper
Proc. Amer. Math. Soc. 32 (1972), 435-439
DOI: https://doi.org/10.1090/S0002-9939-1972-0289826-8
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On the existence of invariant subspaces in spaces with indefinite metric
Kyûya Masuda
Proc. Amer. Math. Soc. 32 (1972), 440-444
DOI: https://doi.org/10.1090/S0002-9939-1972-0295122-5
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On the behavior of solutions of sublinear second order differential equations
Hugo Teufel
Proc. Amer. Math. Soc. 32 (1972), 445-451
DOI: https://doi.org/10.1090/S0002-9939-1972-0294773-1
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Stability of a scaler differential equation
R. Grimmer
Proc. Amer. Math. Soc. 32 (1972), 452-456
DOI: https://doi.org/10.1090/S0002-9939-1972-0288369-5
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On the convolution equation $P=PQ$ of Choquet and Deny for probability measures on semigroups
A. Mukherjea
Proc. Amer. Math. Soc. 32 (1972), 457-463
DOI: https://doi.org/10.1090/S0002-9939-1972-0293687-0
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Dirichlet finite solutions of $\Delta u=Pu$
Ivan J. Singer
Proc. Amer. Math. Soc. 32 (1972), 464-468
DOI: https://doi.org/10.1090/S0002-9939-1972-0344452-7
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The closed ideals of some Dirichlet and hypo-Dirichlet algebras
Robert G. Blumenthal
Proc. Amer. Math. Soc. 32 (1972), 469-471
DOI: https://doi.org/10.1090/S0002-9939-1972-0290111-9
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Sets of multiplicity and differentiable functions
R. Kaufman
Proc. Amer. Math. Soc. 32 (1972), 472-476
DOI: https://doi.org/10.1090/S0002-9939-1972-0340928-7
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An approximation theory for focal points and focal intervals
John Gregory
Proc. Amer. Math. Soc. 32 (1972), 477-483
DOI: https://doi.org/10.1090/S0002-9939-1972-0296788-6
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A theory of unbounded generalized scalar operators
Brian Kritt
Proc. Amer. Math. Soc. 32 (1972), 484-490
DOI: https://doi.org/10.1090/S0002-9939-1972-0293437-8
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A convergence theorem for limitärperiodisch $T$-fractions of rational functions
Kari Hag
Proc. Amer. Math. Soc. 32 (1972), 491-496
DOI: https://doi.org/10.1090/S0002-9939-1972-0291421-1
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A strong maximum principle for quasilinear parabolic differential inequalities
O. ARENA
Proc. Amer. Math. Soc. 32 (1972), 497-502
DOI: https://doi.org/10.1090/S0002-9939-1972-0291634-9
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An abstract measure differential equation
R. R. Sharma
Proc. Amer. Math. Soc. 32 (1972), 503-510
DOI: https://doi.org/10.1090/S0002-9939-1972-0291600-3
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On invariant sets and on a theorem of Ważewski
Philip Hartman
Proc. Amer. Math. Soc. 32 (1972), 511-520
DOI: https://doi.org/10.1090/S0002-9939-1972-0298091-7
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Dirichlet finite biharmonic functions on the unit disk with distorted metrics
Heppé O’Malla
Proc. Amer. Math. Soc. 32 (1972), 521-524
DOI: https://doi.org/10.1090/S0002-9939-1972-0340627-1
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Existence and nonuniqueness of invariant means on $\mathcal {L}^\infty (\hat G)$
Charles F. Dunkl and Donald E. Ramirez
Proc. Amer. Math. Soc. 32 (1972), 525-530
DOI: https://doi.org/10.1090/S0002-9939-1972-0296609-1
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On a characterisation of matrix functions which are differences of two monotone matrix functions
Harkrishan Vasudeva
Proc. Amer. Math. Soc. 32 (1972), 531-534
DOI: https://doi.org/10.1090/S0002-9939-1972-0293035-6
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A vector measure with no derivative
D. R. Lewis
Proc. Amer. Math. Soc. 32 (1972), 535-536
DOI: https://doi.org/10.1090/S0002-9939-1972-0296248-2
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Peano curves in function algebras
Larry Q. Eifler
Proc. Amer. Math. Soc. 32 (1972), 537-538
DOI: https://doi.org/10.1090/S0002-9939-1972-0296698-4
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Centralizers of Fourier algebra of an amenable group
P. F. Renaud
Proc. Amer. Math. Soc. 32 (1972), 539-542
DOI: https://doi.org/10.1090/S0002-9939-1972-0293019-8
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Submodules of $C(X)\times \cdots \times C(X)$
B. Roth
Proc. Amer. Math. Soc. 32 (1972), 543-548
DOI: https://doi.org/10.1090/S0002-9939-1972-0293382-8
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The compact operators are not complemented in $\mathcal {B}(\mathcal {H})$
John B. Conway
Proc. Amer. Math. Soc. 32 (1972), 549-550
DOI: https://doi.org/10.1090/S0002-9939-1972-0288559-1
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Closed ideals in subalgebras of Banach algebras. I
J. T. Burnham
Proc. Amer. Math. Soc. 32 (1972), 551-555
DOI: https://doi.org/10.1090/S0002-9939-1972-0295078-5
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On characterization of Riemannian manifolds by growth of tubular neighborhoods
Nathaniel Grossman
Proc. Amer. Math. Soc. 32 (1972), 556-560
DOI: https://doi.org/10.1090/S0002-9939-1972-0296855-7
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Riemann surfaces in complex projective spaces
Bang-yen Chen and Gerald D. Ludden
Proc. Amer. Math. Soc. 32 (1972), 561-566
DOI: https://doi.org/10.1090/S0002-9939-1972-0290262-9
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The bold strategy in presence of house limit
J. Ernest Wilkins
Proc. Amer. Math. Soc. 32 (1972), 567-570
DOI: https://doi.org/10.1090/S0002-9939-1972-0292182-2
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An exact sequence calculation for the second homotopy of a knot
M. A. Gutiérrez
Proc. Amer. Math. Soc. 32 (1972), 571-577
DOI: https://doi.org/10.1090/S0002-9939-1972-0322848-7
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A sufficient condition for countable-set aposyndesis
Donald E. Bennett
Proc. Amer. Math. Soc. 32 (1972), 578-584
DOI: https://doi.org/10.1090/S0002-9939-1972-0293594-3
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Central measures on semisimple Lie groups have essentially compact support
David L. Ragozin and Linda Preiss Rothschild
Proc. Amer. Math. Soc. 32 (1972), 585-589
DOI: https://doi.org/10.1090/S0002-9939-1972-0291373-4
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Darboux’s theorem fails for weak symplectic forms
J. Marsden
Proc. Amer. Math. Soc. 32 (1972), 590-592
DOI: https://doi.org/10.1090/S0002-9939-1972-0293678-X
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A note on the Whitehead torsion of a bundle modulo a subbundle
Douglas R. Anderson
Proc. Amer. Math. Soc. 32 (1972), 593-595
DOI: https://doi.org/10.1090/S0002-9939-1972-0322882-7
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Recurrence and almost periodicity in a generative transformation group
Fred A. Roberson
Proc. Amer. Math. Soc. 32 (1972), 596-598
DOI: https://doi.org/10.1090/S0002-9939-1972-0293609-2
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Skeleta of complexes with low $MU_\ast$ projective dimension
David Copeland Johnson
Proc. Amer. Math. Soc. 32 (1972), 599-604
DOI: https://doi.org/10.1090/S0002-9939-1972-0288754-1
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Maximal independent collections of closed sets
Harvy Lee Baker
Proc. Amer. Math. Soc. 32 (1972), 605-610
DOI: https://doi.org/10.1090/S0002-9939-1972-0293578-5
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$H$-structures on products
Arthur H. Copeland
Proc. Amer. Math. Soc. 32 (1972), 611-614
DOI: https://doi.org/10.1090/S0002-9939-1972-0288759-0
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A note on $\mathcal {Z}$-realcompactifications
Anthony J. D’Aristotle
Proc. Amer. Math. Soc. 32 (1972), 615-618
DOI: https://doi.org/10.1090/S0002-9939-1972-0288730-9
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An algebraic characterization of dimension
M. J. Canfell
Proc. Amer. Math. Soc. 32 (1972), 619-620
DOI: https://doi.org/10.1090/S0002-9939-1972-0305373-9
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Homotopical nilpotence of the seven sphere
William J. Gilbert
Proc. Amer. Math. Soc. 32 (1972), 621-622
DOI: https://doi.org/10.1090/S0002-9939-1972-0288761-9
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A remark on groups with the fixed point property
Barry Simon
Proc. Amer. Math. Soc. 32 (1972), 623-624
DOI: https://doi.org/10.1090/S0002-9939-1972-0301138-2
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Continuous functions from a connected locally connected space into a connected space with a dispersion point
C. A. Coppin
Proc. Amer. Math. Soc. 32 (1972), 625-626
DOI: https://doi.org/10.1090/S0002-9939-1972-0296913-7
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A note on homotopy equivalences
R. M. Vogt
Proc. Amer. Math. Soc. 32 (1972), 627-629
DOI: https://doi.org/10.1090/S0002-9939-1972-0293632-8
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A necessary condition for quasitriangularity
James A. Deddens
Proc. Amer. Math. Soc. 32 (1972), 630-631
DOI: https://doi.org/10.1090/S0002-9939-1972-0288614-6
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A normal subgroup of a semisimple Lie group is closed
David L. Ragozin
Proc. Amer. Math. Soc. 32 (1972), 632-633
DOI: https://doi.org/10.1090/S0002-9939-1972-0294563-X
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Erratum: “A general three-series theorem”
B. M. Brown
Proc. Amer. Math. Soc. 32 (1972), 634
DOI: https://doi.org/10.1090/S0002-9939-1972-0296999-X
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