El. knyga: Rings, Modules, Algebras, and Abelian Groups [Taylor & Francis e-book]

Preface		iii
Participants to the Conference		ix
Contributors		xvii
Additives Galois Theory of Modules		1	(12)
R. Abraham
P. Schultz
Finitely Generated and Cogenerated QD Groups		13	(14)
U. Albrecht
B. Wickless
Direct Limits of Modules of Finite Projective Dimension		27	(18)
L. Angeleri Hugel
J. Trlifaj
Classification of a Class of Almost Completely Decomposable Groups		45	(10)
E. Blagoveshchenskaya
A Polynomial Ring Sampler		55	(8)
J. W. Brewer
The Picard Group of the Ring of Integer-valued Polynomials on a Valuation Domain		63	(22)
J.-L. Chabert
A Note on Cotilting Modules and Generalized Morita Duality		85	(4)
R. R. Colby
R. Colpi
K. R. Fuller
Dualities Induced by Cotilting Bimodules		89	(14)
R. Colpi
Symmetries and Asymmetries for Cotilting Bimodules		103	(16)
G. D'Este
A Constructive Solution to the Base Change Decomposition Problem in B(1)-groups		119	(14)
C. De Vivo
C. Metelli
On a Property of the Adele Ring of the Rationals		133	(6)
D. Dikranjan
U. Zannier
On Strong Going-between, Going-down, and their Universalizations		139	(10)
D. E. Dobbs
G. Picavet
Factorization of Divisorial Ideals in a Generalized Krull Domain		149	(12)
S. El Baghdadi
Divisorial Multiplication Rings		161	(16)
J. Escoriza
B. Torrecillas
Global Deformations of Lie Algebras		177	(12)
A. Fialowski
Maximal Prime Divisors in Arithmetical Rings		189	(16)
L. Fuchs
W. Heinzer
B. Olberding
On Strongly Flat Modules over Matlis Domain		205	(14)
L. Fuchs
L. Salce
J. Trlifaj
Group Identities on Unit Groups of Group Algebras		219	(10)
A. Giambruno
C. Polcino Milies
Forty Years of Commutative Ring Theory		229	(28)
R. Gilmer
Modules Induced from a Normal Subgroup of Prime Index		257	(14)
S. P. Glasby
Uniquely Transitive Torsion-free Abelian Groups		271	(20)
R. Gobel
S. Shelah
Generalized E-rings		291	(16)
R. Gobel
S. Shelah
L. Strungmann
Butler Modules and Bext		307	(14)
P. Goeters
C. Vinsonhaler
Remarks on the Multiplicative Structure of Certain One-dimensional Integral Domains		321	(12)
F. Halter-Koch
W. Hassler
F. Kainrath
Non-finitely Generated Prime Ideals in Subrings of Power Series Rings		333	(10)
W. Heinzer
C. Rotthaus
S. Wiegand
Rings with Finitely Many Orbits under the Regular Action		343	(6)
Y. Hirano
Projective Covers and Injective Hulls in Abelian Length Categories		349	(4)
O. Kerner
Semigroup Rings that Are Inside Factorial and Their Cale Representation		353	(12)
U. Krause
Reduced Modules		365	(14)
T.-K. Lee
Y. Zhou
The Mori Property in Rings with Zero Divisors		379	(22)
T. G. Lucas
Minimal Prime Ideals and Generalizations of Factorial Domains		401	(10)
P. Malcolmson
F. Okoh
Factorizations of Monic Polynomials		411	(14)
S. McAdam
R. G. Swan
Monotone Complete Ordered Fields, Generalized Power Series, and Integer Parts		425	(6)
M. Moniri
J. S. Eivazloo
On Distance between Finite Rings		431	(6)
L. Oyuntsetseg
T. Sumiyama
Affine Pairs		437	(12)
I. J. Papick
When a Super-decomposable Pure-injective Module over a Serial Ring Exists		449	(16)
G. Puninski
Path Coalgebras of Quivers with Relations and a Tame-wild Dichotomy Problem for Coalgebras		465	(28)
D. Simson
On Central Galois Algebras of a Galois Algebra		493
G. Szeto
Lianyong Xue

Alberto Facchini is Professor of Mathematics, University of Padua, Italy. The author or coauthor of numerous professional publications, he is a member of the European Mathematical Society, the American Mathematical Society, and the Scientific Advisory Board of the Centre de Recerca Matematica, Barcelona. Professor Facchini serves on the editorial board of Communications in Algebra (Marcel Dekker, Inc.), among other journals. He received the doctoral degree in mathematics (1977) from the University of Padua, Italy. Evan Houston is Professor of Mathematics, University of North Carolina at Charlotte. The author or coeditor of numerous professional publications including Commutative Ring Theory (Marcel Dekker, Inc.), his research focuses on commutative algebra. He received the PH.D. degree (1973) from the University of Texas at Austin. Luigi Salce is Professor of Linear Algebra, University of Padua, Italy. He is the author, coauthor, editor or coeditor of many papers and books on abelian groups and module theory, including Modules Over Valuation Domains and Abelian Groups, Module Theory, and Topology (both titles, Marcel Dekker, Inc.). A member of the Italian Mathematical Union, Dr. Salce received the doctoral degree (1969) in mathematics from the University of Padua, Italy.