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 37, Number 2
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Hall-Higman type theorems. IV
T. R. Berger
Proc. Amer. Math. Soc. 37 (1973), 317-325
DOI: https://doi.org/10.1090/S0002-9939-1973-0466279-9
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When $(D[[X]])_{P[[X]]}$ is a valuation ring
J. T. Arnold and J. W. Brewer
Proc. Amer. Math. Soc. 37 (1973), 326-332
DOI: https://doi.org/10.1090/S0002-9939-1973-0311656-X
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Lefschetz’s principle and local functors
Paul C. Eklof
Proc. Amer. Math. Soc. 37 (1973), 333-339
DOI: https://doi.org/10.1090/S0002-9939-1973-0325389-7
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Distribution of semi-$k$-free integers
D. Suryanarayana and R. Sitaramachandra Rao
Proc. Amer. Math. Soc. 37 (1973), 340-346
DOI: https://doi.org/10.1090/S0002-9939-1973-0311599-1
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Generalized projectors and Carter subgroups of finite groups
Surinder K. Sehgal
Proc. Amer. Math. Soc. 37 (1973), 347-351
DOI: https://doi.org/10.1090/S0002-9939-1973-0313379-X
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On Sylow intersections
Marcel Herzog
Proc. Amer. Math. Soc. 37 (1973), 352-354
DOI: https://doi.org/10.1090/S0002-9939-1973-0310055-4
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A new proof of the functional equation of Dirichlet $L$-functions
Bruce C. Berndt
Proc. Amer. Math. Soc. 37 (1973), 355-357
DOI: https://doi.org/10.1090/S0002-9939-1973-0311593-0
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Formulas for the number of binomial coefficients divisible by a fixed power of a prime
F. T. Howard
Proc. Amer. Math. Soc. 37 (1973), 358-362
DOI: https://doi.org/10.1090/S0002-9939-1973-0309737-X
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Some algebraic $K$-theoretic applications of the $\textrm {LF}$ and $\textrm {NF}$ functors
Aderemi O. Kuku
Proc. Amer. Math. Soc. 37 (1973), 363-365
DOI: https://doi.org/10.1090/S0002-9939-1973-0314826-X
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$K_{3}$ of a ring is $H_{3}$ of the Steinberg group
S. M. Gersten
Proc. Amer. Math. Soc. 37 (1973), 366-368
DOI: https://doi.org/10.1090/S0002-9939-1973-0320114-8
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An analogue of l’Hospital’s rule
Maxwell Rosenlicht
Proc. Amer. Math. Soc. 37 (1973), 369-373
DOI: https://doi.org/10.1090/S0002-9939-1973-0318117-2
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Biquadratic reciprocity laws
Ezra Brown
Proc. Amer. Math. Soc. 37 (1973), 374-376
DOI: https://doi.org/10.1090/S0002-9939-1973-0313172-8
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On direct products of regular $p$-groups
J. R. J. Groves
Proc. Amer. Math. Soc. 37 (1973), 377-379
DOI: https://doi.org/10.1090/S0002-9939-1973-0323891-5
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Matrices with prescribed entries and eigenvalues. I
G. N. de Oliveira
Proc. Amer. Math. Soc. 37 (1973), 380-386
DOI: https://doi.org/10.1090/S0002-9939-1973-0309961-6
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Ulm’s theorem for totally projective groups
Elbert A. Walker
Proc. Amer. Math. Soc. 37 (1973), 387-392
DOI: https://doi.org/10.1090/S0002-9939-1973-0311805-3
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A property of the groups $P\Gamma L(m, q)$, $q\geq 5$
Peter Lorimer
Proc. Amer. Math. Soc. 37 (1973), 393-396
DOI: https://doi.org/10.1090/S0002-9939-1973-0313415-0
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Rings with involution all of whose symmetric elements are nilpotent or regular
J. Chacron and M. Chacron
Proc. Amer. Math. Soc. 37 (1973), 397-402
DOI: https://doi.org/10.1090/S0002-9939-1973-0320058-1
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Resolutions and periodicity
J. Alperin and G. Janusz
Proc. Amer. Math. Soc. 37 (1973), 403-406
DOI: https://doi.org/10.1090/S0002-9939-1973-0320178-1
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A property of projective ideals in semigroup algebras
William R. Nico
Proc. Amer. Math. Soc. 37 (1973), 407-410
DOI: https://doi.org/10.1090/S0002-9939-1973-0315035-0
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Modular forms on Hecke’s modular groups
Ronald J. Evans
Proc. Amer. Math. Soc. 37 (1973), 411-412
DOI: https://doi.org/10.1090/S0002-9939-1973-0309872-6
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Amalgamated products of profinite groups: Counterexamples
Luis Ribes
Proc. Amer. Math. Soc. 37 (1973), 413-416
DOI: https://doi.org/10.1090/S0002-9939-1973-0382463-7
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Maximal sublattices of finite distributive lattices
Ivan Rival
Proc. Amer. Math. Soc. 37 (1973), 417-420
DOI: https://doi.org/10.1090/S0002-9939-1973-0311527-9
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Similarity of matrices over finite rings
J. Pomfret
Proc. Amer. Math. Soc. 37 (1973), 421-422
DOI: https://doi.org/10.1090/S0002-9939-1973-0309963-X
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Edge coloring numbers of some regular graphs
E. T. Parker
Proc. Amer. Math. Soc. 37 (1973), 423-424
DOI: https://doi.org/10.1090/S0002-9939-1973-0313103-0
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An example of a Hilbert ring with maximal ideals of different height
Leslie G. Roberts
Proc. Amer. Math. Soc. 37 (1973), 425-426
DOI: https://doi.org/10.1090/S0002-9939-1973-0313234-5
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Uniform equicontinuity of quasiconformal mappings
Raimo Näkki and Bruce Palka
Proc. Amer. Math. Soc. 37 (1973), 427-433
DOI: https://doi.org/10.1090/S0002-9939-1973-0311900-9
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A generalized domain for semigroup generators
Michael G. Crandall
Proc. Amer. Math. Soc. 37 (1973), 434-440
DOI: https://doi.org/10.1090/S0002-9939-1973-0313873-1
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The range of invariant means on locally compact groups and semigroups
Roy C. Snell
Proc. Amer. Math. Soc. 37 (1973), 441-447
DOI: https://doi.org/10.1090/S0002-9939-1973-0313481-2
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On the coefficients of an asymptotic expansion of spherical functions on symmetric spaces
John J. H. Miller and D. J. Simms
Proc. Amer. Math. Soc. 37 (1973), 448-452
DOI: https://doi.org/10.1090/S0002-9939-1973-0312159-9
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On subsets with associated compacta in discrete abelian groups
Ron C. Blei
Proc. Amer. Math. Soc. 37 (1973), 453-455
DOI: https://doi.org/10.1090/S0002-9939-1973-0313720-8
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Weakly compact positive operators on summable functions
Paul C. Shields
Proc. Amer. Math. Soc. 37 (1973), 456-458
DOI: https://doi.org/10.1090/S0002-9939-1973-0315506-7
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An elementary proof of a theorem concerning infinitely connected domains
R. J. Sibner
Proc. Amer. Math. Soc. 37 (1973), 459-461
DOI: https://doi.org/10.1090/S0002-9939-1973-0310215-2
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A necessary condition in the calculus of variations
Edward Silverman
Proc. Amer. Math. Soc. 37 (1973), 462-464
DOI: https://doi.org/10.1090/S0002-9939-1973-0319009-5
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One dimensional perturbations of compact operators
Harry Hochstadt
Proc. Amer. Math. Soc. 37 (1973), 465-467
DOI: https://doi.org/10.1090/S0002-9939-1973-0310681-2
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On polynomial approximation in $A_{q}(D)$
Thomas A. Metzger
Proc. Amer. Math. Soc. 37 (1973), 468-470
DOI: https://doi.org/10.1090/S0002-9939-1973-0310260-7
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Value distribution of potentials in three real variables
Peter A. McCoy
Proc. Amer. Math. Soc. 37 (1973), 471-475
DOI: https://doi.org/10.1090/S0002-9939-1973-0313525-8
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Weyl’s lemma for pointwise solutions of elliptic equations
J. R. Diederich
Proc. Amer. Math. Soc. 37 (1973), 476-480
DOI: https://doi.org/10.1090/S0002-9939-1973-0318664-3
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Representation theorems for compact operators
Daniel J. Randtke
Proc. Amer. Math. Soc. 37 (1973), 481-485
DOI: https://doi.org/10.1090/S0002-9939-1973-0310685-X
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A renorming of nonreflexive Banach spaces
William J. Davis and William B. Johnson
Proc. Amer. Math. Soc. 37 (1973), 486-488
DOI: https://doi.org/10.1090/S0002-9939-1973-0310595-8
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Inductive limits of $A$-convex algebras
Allan C. Cochran
Proc. Amer. Math. Soc. 37 (1973), 489-496
DOI: https://doi.org/10.1090/S0002-9939-1973-0310639-3
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Smooth sequence spaces and associated nuclearity
T. Terzioğlu
Proc. Amer. Math. Soc. 37 (1973), 497-504
DOI: https://doi.org/10.1090/S0002-9939-1973-0324372-5
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Continuity of higher derivations
R. J. Loy
Proc. Amer. Math. Soc. 37 (1973), 505-510
DOI: https://doi.org/10.1090/S0002-9939-1973-0312265-9
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On the valence of the sum of two convex functions
D. Styer and D. Wright
Proc. Amer. Math. Soc. 37 (1973), 511-516
DOI: https://doi.org/10.1090/S0002-9939-1973-0313495-2
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On bounds for the derivative of analytic functions
Dorothy Browne Shaffer
Proc. Amer. Math. Soc. 37 (1973), 517-520
DOI: https://doi.org/10.1090/S0002-9939-1973-0310256-5
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Absolutely continuous component of a class of integral operators
Richard E. Sours
Proc. Amer. Math. Soc. 37 (1973), 521-524
DOI: https://doi.org/10.1090/S0002-9939-1973-0312333-1
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Invariant subspaces of infinite codimension for some nonnormal operators
Kevin Clancey
Proc. Amer. Math. Soc. 37 (1973), 525-528
DOI: https://doi.org/10.1090/S0002-9939-1973-0308841-X
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The equivalence of two definitions of capacity
David R. Adams and John C. Polking
Proc. Amer. Math. Soc. 37 (1973), 529-534
DOI: https://doi.org/10.1090/S0002-9939-1973-0328109-5
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Inner products characterized by difference equations
Gordon G. Johnson
Proc. Amer. Math. Soc. 37 (1973), 535-536
DOI: https://doi.org/10.1090/S0002-9939-1973-0312223-4
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A comparison theorem for eigenfunctions
C. A. Swanson
Proc. Amer. Math. Soc. 37 (1973), 537-540
DOI: https://doi.org/10.1090/S0002-9939-1973-0312041-7
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On the existence of regular approximate differentials
Albert Fadell
Proc. Amer. Math. Soc. 37 (1973), 541-544
DOI: https://doi.org/10.1090/S0002-9939-1973-0313462-9
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On a class of quasiconformal functions in Banach spaces
Su Shing Chen
Proc. Amer. Math. Soc. 37 (1973), 545-548
DOI: https://doi.org/10.1090/S0002-9939-1973-0318518-2
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The significant cylindrical condition and a Hausdorff rectifiable set
J. C. Breckenridge
Proc. Amer. Math. Soc. 37 (1973), 549-552
DOI: https://doi.org/10.1090/S0002-9939-1973-0311876-4
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All $\alpha$-convex functions are univalent and starlike
Sanford S. Miller, Petru Mocanu and Maxwell O. Reade
Proc. Amer. Math. Soc. 37 (1973), 553-554
DOI: https://doi.org/10.1090/S0002-9939-1973-0313490-3
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Easy constructions in complexity theory: Gap and speed-up theorems
Paul Young
Proc. Amer. Math. Soc. 37 (1973), 555-563
DOI: https://doi.org/10.1090/S0002-9939-1973-0312768-7
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A characterization of standard flat tori
Bang-yen Chen
Proc. Amer. Math. Soc. 37 (1973), 564-567
DOI: https://doi.org/10.1090/S0002-9939-1973-0313976-1
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Convex metric spaces with $0$-dimensional midsets
L. D. Loveland and J. E. Valentine
Proc. Amer. Math. Soc. 37 (1973), 568-571
DOI: https://doi.org/10.1090/S0002-9939-1973-0310817-3
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Determinateness and continuity
Andreas Blass
Proc. Amer. Math. Soc. 37 (1973), 572-574
DOI: https://doi.org/10.1090/S0002-9939-1973-0485364-9
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Decompositions of substochastic transition functions
Kenneth Lange
Proc. Amer. Math. Soc. 37 (1973), 575-580
DOI: https://doi.org/10.1090/S0002-9939-1973-0314124-4
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The convergence determining class of regular open sets
Lothar Rogge
Proc. Amer. Math. Soc. 37 (1973), 581-585
DOI: https://doi.org/10.1090/S0002-9939-1973-0311872-7
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On composite loop functors
K. A. Hardie
Proc. Amer. Math. Soc. 37 (1973), 586-588
DOI: https://doi.org/10.1090/S0002-9939-1973-0314045-7
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Quotients of proximity spaces
Louis Friedler
Proc. Amer. Math. Soc. 37 (1973), 589-594
DOI: https://doi.org/10.1090/S0002-9939-1973-0402691-1
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Locally-trivial bundles and microbundles with infinite-dimensional fibers
T. A. Chapman
Proc. Amer. Math. Soc. 37 (1973), 595-602
DOI: https://doi.org/10.1090/S0002-9939-1973-0312524-X
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Preimages of points under the natural map from $\beta (N\times N)$ to $\beta N\times \beta N$
Neil Hindman
Proc. Amer. Math. Soc. 37 (1973), 603-608
DOI: https://doi.org/10.1090/S0002-9939-1973-0358695-0
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$3$-manifolds that are sums of solid tori and Seifert fiber spaces
Wolfgang Heil
Proc. Amer. Math. Soc. 37 (1973), 609-614
DOI: https://doi.org/10.1090/S0002-9939-1973-0356055-X
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A characterization of local compactness
R. V. Fuller
Proc. Amer. Math. Soc. 37 (1973), 615-616
DOI: https://doi.org/10.1090/S0002-9939-1973-0317278-9
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A short proof of Mac Lane’s planarity theorem
P. V. O’Neil
Proc. Amer. Math. Soc. 37 (1973), 617-618
DOI: https://doi.org/10.1090/S0002-9939-1973-0313098-X
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A note on normal-operator-valued analytic functions
J. Globevnik and I. Vidav
Proc. Amer. Math. Soc. 37 (1973), 619-621
DOI: https://doi.org/10.1090/S0002-9939-1973-0310663-0
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Addendum to: “Extension of $C^{\infty }$ functions defined in a half space”
Robert T. Seeley
Proc. Amer. Math. Soc. 37 (1973), 622
DOI: https://doi.org/10.1090/S0002-9939-1973-0310618-6
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