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)

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Contents of Volume 103, Number 4
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Elementary divisor theorem for noncommutative PIDs
Robert M. Guralnick, Lawrence S. Levy and Charles Odenthal
Proc. Amer. Math. Soc. 103 (1988), 1003-1011
DOI: https://doi.org/10.1090/S0002-9939-1988-0954973-3
Nontrivial uses of trivial rings
Fred Richman
Proc. Amer. Math. Soc. 103 (1988), 1012-1014
DOI: https://doi.org/10.1090/S0002-9939-1988-0954974-5
Completeness theorems for universal and implicational logics of algebras via congruences
Robert W. Quackenbush
Proc. Amer. Math. Soc. 103 (1988), 1015-1021
DOI: https://doi.org/10.1090/S0002-9939-1988-0954975-7
Grothendieck groups of algebras with nilpotent annihilators
Maurice Auslander and Idun Reiten
Proc. Amer. Math. Soc. 103 (1988), 1022-1024
DOI: https://doi.org/10.1090/S0002-9939-1988-0954976-9
A simple proof of Gabber’s theorem on projective modules over a localized local ring
Richard G. Swan
Proc. Amer. Math. Soc. 103 (1988), 1025-1030
DOI: https://doi.org/10.1090/S0002-9939-1988-0954977-0
Imbedding nondegenerate Jordan algebras in semiprimitive algebras
W. S. Martindale and K. McCrimmon
Proc. Amer. Math. Soc. 103 (1988), 1031-1036
DOI: https://doi.org/10.1090/S0002-9939-1988-0954978-2
The number of generators of modules over polynomial rings
Gennady Lyubeznik
Proc. Amer. Math. Soc. 103 (1988), 1037-1040
DOI: https://doi.org/10.1090/S0002-9939-1988-0954979-4
Elementary equivalence and profinite completions: a characterization of finitely generated abelian-by-finite groups
Francis Oger
Proc. Amer. Math. Soc. 103 (1988), 1041-1048
DOI: https://doi.org/10.1090/S0002-9939-1988-0954980-0
Zeros of diagonal equations over finite fields
Da Qing Wan
Proc. Amer. Math. Soc. 103 (1988), 1049-1052
DOI: https://doi.org/10.1090/S0002-9939-1988-0954981-2
Modular group algebras of $N$-groups
William Ullery
Proc. Amer. Math. Soc. 103 (1988), 1053-1057
DOI: https://doi.org/10.1090/S0002-9939-1988-0954982-4
Finite extensions of rings
Barbara Cortzen and Lance W. Small
Proc. Amer. Math. Soc. 103 (1988), 1058-1062
DOI: https://doi.org/10.1090/S0002-9939-1988-0954983-6
Convergence and divergence almost everywhere of spherical means for radial functions
Yūichi Kanjin
Proc. Amer. Math. Soc. 103 (1988), 1063-1069
DOI: https://doi.org/10.1090/S0002-9939-1988-0954984-8
An extension of Ando-Krieger’s theorem to ordered Banach spaces
V. Caselles
Proc. Amer. Math. Soc. 103 (1988), 1070-1072
DOI: https://doi.org/10.1090/S0002-9939-1988-0954985-X
Classification of one-dimensional hypergroups
Alan L. Schwartz
Proc. Amer. Math. Soc. 103 (1988), 1073-1081
DOI: https://doi.org/10.1090/S0002-9939-1988-0954986-1
Analytic functions with rectifiable radial images
Marvin Ortel and Walter Schneider
Proc. Amer. Math. Soc. 103 (1988), 1082-1086
DOI: https://doi.org/10.1090/S0002-9939-1988-0954987-3
Banach space properties of Ciesielski-Pol’s $C(K)$ space
G. Godefroy, J. Pelant, J. H. M. Whitfield and V. Zizler
Proc. Amer. Math. Soc. 103 (1988), 1087-1093
DOI: https://doi.org/10.1090/S0002-9939-1988-0954988-5
Starlikeness and convexity from integral means of the derivative
Shinji Yamashita
Proc. Amer. Math. Soc. 103 (1988), 1094-1098
DOI: https://doi.org/10.1090/S0002-9939-1988-0954989-7
A projection formula for the Askey-Wilson polynomials and an application
Mizan Rahman
Proc. Amer. Math. Soc. 103 (1988), 1099-1107
DOI: https://doi.org/10.1090/S0002-9939-1988-0954990-3
Cesàro and Borel-type summability
David Borwein and Tom Markovich
Proc. Amer. Math. Soc. 103 (1988), 1108-1112
DOI: https://doi.org/10.1090/S0002-9939-1988-0954991-5
Invariant Lagrangian subspaces
Lars Andersson
Proc. Amer. Math. Soc. 103 (1988), 1113-1119
DOI: https://doi.org/10.1090/S0002-9939-1988-0954992-7
Linear independence of iterates and entire solutions of functional equations
Jens Peter Reus Christensen and Pal Fischer
Proc. Amer. Math. Soc. 103 (1988), 1120-1124
DOI: https://doi.org/10.1090/S0002-9939-1988-0954993-9
Joint continuity of measurable biadditive mappings
Jens Peter Reus Christensen and Pal Fischer
Proc. Amer. Math. Soc. 103 (1988), 1125-1128
DOI: https://doi.org/10.1090/S0002-9939-1988-0929436-1
Random approximations and random fixed point theorems for non-self-maps
Tzu-Chu Lin
Proc. Amer. Math. Soc. 103 (1988), 1129-1135
DOI: https://doi.org/10.1090/S0002-9939-1988-0954994-0
Compactness of the $\overline \partial$-Neumann operator
Steven G. Krantz
Proc. Amer. Math. Soc. 103 (1988), 1136-1138
DOI: https://doi.org/10.1090/S0002-9939-1988-0954995-2
Characterizing shape preserving $L_ 1$-approximation
D. Zwick
Proc. Amer. Math. Soc. 103 (1988), 1139-1146
DOI: https://doi.org/10.1090/S0002-9939-1988-0954996-4
A commutator estimate for pseudo-differential operators
Jürgen Marschall
Proc. Amer. Math. Soc. 103 (1988), 1147-1150
DOI: https://doi.org/10.1090/S0002-9939-1988-0954997-6
Nonstandard methods for families of $\tau$-smooth probability measures
Dieter Landers and Lothar Rogge
Proc. Amer. Math. Soc. 103 (1988), 1151-1156
DOI: https://doi.org/10.1090/S0002-9939-1988-0954998-8
An upper bound for the projection constant
D. R. Lewis
Proc. Amer. Math. Soc. 103 (1988), 1157-1160
DOI: https://doi.org/10.1090/S0002-9939-1988-0954999-X
A note on the generalized Riemann integral
Washek F. Pfeffer
Proc. Amer. Math. Soc. 103 (1988), 1161-1166
DOI: https://doi.org/10.1090/S0002-9939-1988-0955000-4
A note on extreme points of subordination classes
D. J. Hallenbeck
Proc. Amer. Math. Soc. 103 (1988), 1167-1170
DOI: https://doi.org/10.1090/S0002-9939-1988-0955001-6
An extension theorem for normal functions
Pentti Järvi
Proc. Amer. Math. Soc. 103 (1988), 1171-1174
DOI: https://doi.org/10.1090/S0002-9939-1988-0955002-8
Singular integrals in product domains and the method of rotations
Donald Krug
Proc. Amer. Math. Soc. 103 (1988), 1175-1178
DOI: https://doi.org/10.1090/S0002-9939-1988-0955003-X
The differentiability of the hairs of $\textrm {exp}(Z)$
M. Viana da Silva
Proc. Amer. Math. Soc. 103 (1988), 1179-1184
DOI: https://doi.org/10.1090/S0002-9939-1988-0955004-1
Intersection of Lebesgue spaces $L_ 1$ and $L_ 2$
S. J. Dilworth
Proc. Amer. Math. Soc. 103 (1988), 1185-1188
DOI: https://doi.org/10.1090/S0002-9939-1988-0955005-3
The convolution of Radon measures
H. Kharaghani
Proc. Amer. Math. Soc. 103 (1988), 1189-1191
DOI: https://doi.org/10.1090/S0002-9939-1988-0955006-5
Approximating PA
F. G. J. Wiid
Proc. Amer. Math. Soc. 103 (1988), 1192-1195
DOI: https://doi.org/10.1090/S0002-9939-1988-0955007-7
Automatic continuity of concave functions
Roger Howe
Proc. Amer. Math. Soc. 103 (1988), 1196-1200
DOI: https://doi.org/10.1090/S0002-9939-1988-0955008-9
Closed convex hypersurfaces with curvature restrictions
Rolf Schneider
Proc. Amer. Math. Soc. 103 (1988), 1201-1204
DOI: https://doi.org/10.1090/S0002-9939-1988-0955009-0
A rigidity theorem for quaternionic-Kähler manifolds
Claude LeBrun
Proc. Amer. Math. Soc. 103 (1988), 1205-1208
DOI: https://doi.org/10.1090/S0002-9939-1988-0955010-7
Compact parallelizable four-dimensional symplectic and complex manifolds
Marisa Fernández, Mark J. Gotay and Alfred Gray
Proc. Amer. Math. Soc. 103 (1988), 1209-1212
DOI: https://doi.org/10.1090/S0002-9939-1988-0955011-9
Clear visibility and $L_ 2$ sets
N. Stavrakas
Proc. Amer. Math. Soc. 103 (1988), 1213-1215
DOI: https://doi.org/10.1090/S0002-9939-1988-0955012-0
Undefinable classes and definable elements in models of set theory and arithmetic
Ali Enayat
Proc. Amer. Math. Soc. 103 (1988), 1216-1220
DOI: https://doi.org/10.1090/S0002-9939-1988-0955013-2
An extension of the closed unbounded filter
Robert J. Mignone
Proc. Amer. Math. Soc. 103 (1988), 1221-1225
DOI: https://doi.org/10.1090/S0002-9939-1988-0955014-4
Paraproducts and commutators of martingale transforms
Rodrigo Bañuelos and Andrew G. Bennett
Proc. Amer. Math. Soc. 103 (1988), 1226-1234
DOI: https://doi.org/10.1090/S0002-9939-1988-0955015-6
A comparison principle for large deviations
John R. Baxter and Naresh C. Jain
Proc. Amer. Math. Soc. 103 (1988), 1235-1240
DOI: https://doi.org/10.1090/S0002-9939-1988-0955016-8
Occupation time and the Lebesgue measure of the range for a Lévy process
S. C. Port
Proc. Amer. Math. Soc. 103 (1988), 1241-1248
DOI: https://doi.org/10.1090/S0002-9939-1988-0955017-X
An asymptotic expansion for the expected number of real zeros of a random polynomial
J. Ernest Wilkins
Proc. Amer. Math. Soc. 103 (1988), 1249-1258
DOI: https://doi.org/10.1090/S0002-9939-1988-0955018-1
Factorization of measures and normal conditional distributions
A. Maitra and S. Ramakrishnan
Proc. Amer. Math. Soc. 103 (1988), 1259-1267
DOI: https://doi.org/10.1090/S0002-9939-1988-0955019-3
Congruence and one-dimensionality of metric spaces
Ludvik Janos
Proc. Amer. Math. Soc. 103 (1988), 1268-1270
DOI: https://doi.org/10.1090/S0002-9939-1988-0955020-X
Infinitesimal characterization of homogeneous bundles
Kirill Mackenzie
Proc. Amer. Math. Soc. 103 (1988), 1271-1277
DOI: https://doi.org/10.1090/S0002-9939-1988-0955021-1
A characterization of Lašnev spaces
H. H. Hung
Proc. Amer. Math. Soc. 103 (1988), 1278-1280
DOI: https://doi.org/10.1090/S0002-9939-1988-0955022-3
$\mathcal {L}$-manifolds and cone-dual maps
Sara Dragotti and Gaetano Magro
Proc. Amer. Math. Soc. 103 (1988), 1281-1289
DOI: https://doi.org/10.1090/S0002-9939-1988-0955023-5
Universal spaces for countable-dimensional metric spaces
Tatsuo Goto
Proc. Amer. Math. Soc. 103 (1988), 1290-1292
DOI: https://doi.org/10.1090/S0002-9939-1988-0955024-7
Fixed point sets of homeomorphisms of metric products
John R. Martin
Proc. Amer. Math. Soc. 103 (1988), 1293-1298
DOI: https://doi.org/10.1090/S0002-9939-1988-0955025-9
Integral Brown-Gitler spectra
Fred R. Cohen, Donald M. Davis, Paul G. Goerss and Mark E. Mahowald
Proc. Amer. Math. Soc. 103 (1988), 1299-1304
DOI: https://doi.org/10.1090/S0002-9939-1988-0955026-0
Absolute endpoints of chainable continua
Ira Rosenholtz
Proc. Amer. Math. Soc. 103 (1988), 1305-1314
DOI: https://doi.org/10.1090/S0002-9939-1988-0955027-2
Neighborhoods of points in codimension-one submanifolds lie in codimension-one spheres
Fredric D. Ancel
Proc. Amer. Math. Soc. 103 (1988), 1315-1316
DOI: https://doi.org/10.1090/S0002-9939-1988-0955028-4
Non-$G$-equivalent Moore $G$-spaces of the same type
Ryszard Doman
Proc. Amer. Math. Soc. 103 (1988), 1317-1321
DOI: https://doi.org/10.1090/S0002-9939-1988-0955029-6
Simultaneous systems of representatives for families of finite sets
Melvyn B. Nathanson
Proc. Amer. Math. Soc. 103 (1988), 1322-1326
DOI: https://doi.org/10.1090/S0002-9939-1988-0955030-2