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 41, Number 2
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The equation of Ramanujan-Nagell and $[y^{2}]$
D. G. Mead
Proc. Amer. Math. Soc. 41 (1973), 333-341
DOI: https://doi.org/10.1090/S0002-9939-1973-0327725-4
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Descent of projectivity for locally free modules
Roger Wiegand
Proc. Amer. Math. Soc. 41 (1973), 342-348
DOI: https://doi.org/10.1090/S0002-9939-1973-0327737-0
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Perfect torsion theories
Paul E. Bland
Proc. Amer. Math. Soc. 41 (1973), 349-355
DOI: https://doi.org/10.1090/S0002-9939-1973-0376758-0
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Finite Frattini factors in finitely generated soluble groups
John C. Lennox
Proc. Amer. Math. Soc. 41 (1973), 356-360
DOI: https://doi.org/10.1090/S0002-9939-1973-0333003-X
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Finite frattini factors in finitely generated Abelian-by-polycyclic groups
John C. Lennox
Proc. Amer. Math. Soc. 41 (1973), 361-362
DOI: https://doi.org/10.1090/S0002-9939-1973-0333004-1
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Finiteness in prime ideals in rings of global dimension two
Hu Sheng
Proc. Amer. Math. Soc. 41 (1973), 363-369
DOI: https://doi.org/10.1090/S0002-9939-1973-0327739-4
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A remark on the commutativity of certain rings
Ram Awtar
Proc. Amer. Math. Soc. 41 (1973), 370-372
DOI: https://doi.org/10.1090/S0002-9939-1973-0327842-9
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Equational theories of algebras with distributive congruences
R. Padmanabhan and R. W. Quackenbush
Proc. Amer. Math. Soc. 41 (1973), 373-377
DOI: https://doi.org/10.1090/S0002-9939-1973-0325498-2
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Groups with normal subgroups possessing subnormal complements
K. H. Toh
Proc. Amer. Math. Soc. 41 (1973), 378-380
DOI: https://doi.org/10.1090/S0002-9939-1973-0325787-1
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Faithful Noetherian modules
Edward Formanek
Proc. Amer. Math. Soc. 41 (1973), 381-383
DOI: https://doi.org/10.1090/S0002-9939-1973-0379477-X
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For how many edges is a digraph almost certainly Hamiltonian?
E. M. Wright
Proc. Amer. Math. Soc. 41 (1973), 384-388
DOI: https://doi.org/10.1090/S0002-9939-1973-0342436-7
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Allowable diagrams for purely inseparable field extensions
Linda Almgren Kime
Proc. Amer. Math. Soc. 41 (1973), 389-393
DOI: https://doi.org/10.1090/S0002-9939-1973-0335481-9
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Fields of constants of infinite higher derivations
James K. Deveney
Proc. Amer. Math. Soc. 41 (1973), 394-398
DOI: https://doi.org/10.1090/S0002-9939-1973-0335478-9
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An imbedding theorem for separable algebras
Takasi Nagahara
Proc. Amer. Math. Soc. 41 (1973), 399-402
DOI: https://doi.org/10.1090/S0002-9939-1973-0323775-2
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Some remarks concerning the number theoretic functions $\omega (n)$ and $\Omega (n)$
Robert E. Dressler and Jan van de Lune
Proc. Amer. Math. Soc. 41 (1973), 403-406
DOI: https://doi.org/10.1090/S0002-9939-1973-0340191-8
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The finiteness of $I$ when $R[X]/I$ is $R$-projective
J. W. Brewer and P. R. Montgomery
Proc. Amer. Math. Soc. 41 (1973), 407-414
DOI: https://doi.org/10.1090/S0002-9939-1973-0323778-8
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On sequences not containing a large sum-free subsequence
S. L. G. Choi
Proc. Amer. Math. Soc. 41 (1973), 415-418
DOI: https://doi.org/10.1090/S0002-9939-1973-0325563-X
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Lie algebra representations of dimension $p-1$
Helmut Strade
Proc. Amer. Math. Soc. 41 (1973), 419-424
DOI: https://doi.org/10.1090/S0002-9939-1973-0330247-8
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Finitely generated steady $\mathfrak {N}$-semigroups
Takayuki Tamura
Proc. Amer. Math. Soc. 41 (1973), 425-430
DOI: https://doi.org/10.1090/S0002-9939-1973-0327957-5
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Rund forms over real algebraic function fields in one variable
Richard Elman
Proc. Amer. Math. Soc. 41 (1973), 431-436
DOI: https://doi.org/10.1090/S0002-9939-1973-0323718-1
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Flat and FP-injectivity
Saroj Jain
Proc. Amer. Math. Soc. 41 (1973), 437-442
DOI: https://doi.org/10.1090/S0002-9939-1973-0323828-9
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Identities in implicative semilattices
Angelo Margaris
Proc. Amer. Math. Soc. 41 (1973), 443-448
DOI: https://doi.org/10.1090/S0002-9939-1973-0337707-4
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Coherence of one polynomial ring
Wolmer V. Vasconcelos
Proc. Amer. Math. Soc. 41 (1973), 449-456
DOI: https://doi.org/10.1090/S0002-9939-1973-0325608-7
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Real homogeneous algebras
D. Ž. Djoković
Proc. Amer. Math. Soc. 41 (1973), 457-462
DOI: https://doi.org/10.1090/S0002-9939-1973-0332902-2
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An extension of Haynsworth’s determinant inequality
D. J. Hartfiel
Proc. Amer. Math. Soc. 41 (1973), 463-465
DOI: https://doi.org/10.1090/S0002-9939-1973-0323807-1
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The strict topology for $P$-spaces
Robert F. Wheeler
Proc. Amer. Math. Soc. 41 (1973), 466-472
DOI: https://doi.org/10.1090/S0002-9939-1973-0341048-9
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Representation of $A$-convex algebras
Allan C. Cochran
Proc. Amer. Math. Soc. 41 (1973), 473-479
DOI: https://doi.org/10.1090/S0002-9939-1973-0333735-3
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Operators with a strictly cyclic vector
Bruce Barnes
Proc. Amer. Math. Soc. 41 (1973), 480-486
DOI: https://doi.org/10.1090/S0002-9939-1973-0344924-6
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On continuity of invariant measures
Andrew Adler
Proc. Amer. Math. Soc. 41 (1973), 487-491
DOI: https://doi.org/10.1090/S0002-9939-1973-0328025-9
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Asymptotic values and Baire category
Chaim Mida
Proc. Amer. Math. Soc. 41 (1973), 492-494
DOI: https://doi.org/10.1090/S0002-9939-1973-0324046-0
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Boundedly holomorphic convex Riemann domain
Dong S. Kim
Proc. Amer. Math. Soc. 41 (1973), 495-497
DOI: https://doi.org/10.1090/S0002-9939-1973-0328120-4
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Compact $2$-manifolds as maximal ideal spaces
Alfred G. Brandstein
Proc. Amer. Math. Soc. 41 (1973), 498-500
DOI: https://doi.org/10.1090/S0002-9939-1973-0324426-3
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On invariant linear manifolds
P. A. Fillmore
Proc. Amer. Math. Soc. 41 (1973), 501-505
DOI: https://doi.org/10.1090/S0002-9939-1973-0338804-X
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Product integral approximations of solutions to linear operator equations
Robert H. Martin
Proc. Amer. Math. Soc. 41 (1973), 506-512
DOI: https://doi.org/10.1090/S0002-9939-1973-0380463-4
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Uniform approximation by solutions of elliptic equations
Barnet M. Weinstock
Proc. Amer. Math. Soc. 41 (1973), 513-517
DOI: https://doi.org/10.1090/S0002-9939-1973-0340794-0
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The local range set of a meromorphic function
Leon Brown and P. M. Gauthier
Proc. Amer. Math. Soc. 41 (1973), 518-524
DOI: https://doi.org/10.1090/S0002-9939-1973-0325970-5
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A counterexample to the two-thirds conjecture
Roger W. Barnard and John L. Lewis
Proc. Amer. Math. Soc. 41 (1973), 525-529
DOI: https://doi.org/10.1090/S0002-9939-1973-0325944-4
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Perturbations by nilpotent operators on Hilbert space
Arlen Brown, Carl Pearcy and Norberto Salinas
Proc. Amer. Math. Soc. 41 (1973), 530-534
DOI: https://doi.org/10.1090/S0002-9939-1973-0374955-1
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The Baire order of the functions continuous almost everywhere
R. D. Mauldin
Proc. Amer. Math. Soc. 41 (1973), 535-540
DOI: https://doi.org/10.1090/S0002-9939-1973-0323966-0
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Multipliers of closed ideals in group algebras
Stephen H. Friedberg
Proc. Amer. Math. Soc. 41 (1973), 541-542
DOI: https://doi.org/10.1090/S0002-9939-1973-0326308-X
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On the derivative of a polynomial
N. K. Govil
Proc. Amer. Math. Soc. 41 (1973), 543-546
DOI: https://doi.org/10.1090/S0002-9939-1973-0325932-8
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Bounded approximate units and bounded approximate identities
Josef Wichmann
Proc. Amer. Math. Soc. 41 (1973), 547-550
DOI: https://doi.org/10.1090/S0002-9939-1973-0324415-9
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The noncharacteristic Cauchy problem for parabolic equations in two space variables
David Colton
Proc. Amer. Math. Soc. 41 (1973), 551-556
DOI: https://doi.org/10.1090/S0002-9939-1973-0324189-1
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Chebyshev approximation with a null space
Charles B. Dunham
Proc. Amer. Math. Soc. 41 (1973), 557-558
DOI: https://doi.org/10.1090/S0002-9939-1973-0326244-9
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Harmonic measure and domains bounded by quasiconformal circles
Donald K. Blevins
Proc. Amer. Math. Soc. 41 (1973), 559-564
DOI: https://doi.org/10.1090/S0002-9939-1973-0325960-2
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Oscillation in first order nonlinear retarded argument differential equations
Warren E. Shreve
Proc. Amer. Math. Soc. 41 (1973), 565-568
DOI: https://doi.org/10.1090/S0002-9939-1973-0372371-X
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A characterization of inner product spaces
R. A. Tapia
Proc. Amer. Math. Soc. 41 (1973), 569-574
DOI: https://doi.org/10.1090/S0002-9939-1973-0341041-6
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Sums of distances between points on a sphere. II
Kenneth B. Stolarsky
Proc. Amer. Math. Soc. 41 (1973), 575-582
DOI: https://doi.org/10.1090/S0002-9939-1973-0333995-9
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The halting problem relativized to complements
Louise Hay
Proc. Amer. Math. Soc. 41 (1973), 583-587
DOI: https://doi.org/10.1090/S0002-9939-1973-0327495-X
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Functions possessing restricted mean value properties
David Heath
Proc. Amer. Math. Soc. 41 (1973), 588-595
DOI: https://doi.org/10.1090/S0002-9939-1973-0333213-1
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A note on Strassen’s version of the law of the iterated logarithm
A. K. Basu
Proc. Amer. Math. Soc. 41 (1973), 596-601
DOI: https://doi.org/10.1090/S0002-9939-1973-0329007-3
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An order-theoretic description of Marinescu spaces
W. A. Feldman and J. F. Porter
Proc. Amer. Math. Soc. 41 (1973), 602-608
DOI: https://doi.org/10.1090/S0002-9939-1973-0328528-7
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Bifurcation at eigenvalues of odd multiplicity
David Westreich
Proc. Amer. Math. Soc. 41 (1973), 609-614
DOI: https://doi.org/10.1090/S0002-9939-1973-0328707-9
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An example relating to Arhangel′skiĭ’s class $\textrm {MOBI}$
James R. Boone
Proc. Amer. Math. Soc. 41 (1973), 615-618
DOI: https://doi.org/10.1090/S0002-9939-1973-0328891-7
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Negligibility in nonlocally convex spaces
Charles A. Riley
Proc. Amer. Math. Soc. 41 (1973), 619-624
DOI: https://doi.org/10.1090/S0002-9939-1973-0322878-6
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The min cone over the circle group
J. E. L’Heureux
Proc. Amer. Math. Soc. 41 (1973), 625-628
DOI: https://doi.org/10.1090/S0002-9939-1973-0323947-7
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On the fundamental domain of a discrete group
Melvyn B. Nathanson
Proc. Amer. Math. Soc. 41 (1973), 629-630
DOI: https://doi.org/10.1090/S0002-9939-1973-0325799-8
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Compact subsets of $R^{n}$ and dimension of their projections
Sibe Mardešić
Proc. Amer. Math. Soc. 41 (1973), 631-633
DOI: https://doi.org/10.1090/S0002-9939-1973-0334161-3
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An inverse function theorem for free groups
Joan S. Birman
Proc. Amer. Math. Soc. 41 (1973), 634-638
DOI: https://doi.org/10.1090/S0002-9939-1973-0330295-8
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