Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994 (Mathematics and Its Applications, 343). Questo articolo non è disponibile.Abelian Groups and Modules: Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994 (Mathematics and Its Applications, 343)

This volume consists mainly of refereed papers and surveys presented at the 1994 Padova Conference "Abelian Groups and Modules". Linking three main areas in algebra, namely Abelian groups, commutative algebra and modules over non-commutative rings, this work surveys current trends as well as recent results in specific research topics. Subjects covered include: representation theory, Hopf modules, Krull dimension, dualities, finitistic dimension, algebraically compact modules, von Neumann regular rings, serial rings, reflexive algebras, endomorphism rings, Butler groups, torsion-free Abelian groups, and totally projective groups.

Preface. Conference information. Dual relative Krull dimension of modules over commutative rings; T. Albu, P.F. Smith. Morita duality, linear compactness and AB5*: a survey; P.N. Ánh. Near isomorphism of Butler groups and representations of finite posets; D.M. Arnold. Locally free finite rank Butler groups and near isomorphism; D.M. Arnold, M. Dugas. Subgroups of Butler groups; L. Bican. Some Abelian groups with free duals; A. Blass, et al. Confirmation of a conjecture of Dans and Hoffmann on biregular rings; W.D. Burgess. Induction factors for the Doi-Koppinen unified Hopf modules; S. Caenepeel, S. Raianu. One-dimensional rings of finite representation type; N. Cimen, et al. Uniqueness of dualities; D. Dikranjan. Classification and non-classification results for Abelian groups; P.C. Eklof. Sigma-pure-injective modules over serial rings; A. Facchini, G. Puninski. Modules over endomorphism rings as homotopy classes; T.G. Faticoni. Categories of mixed and torsion-free finite rank Abelian groups; A. Fomin, W.J. Wickless. Reflexive representation of algebras; K.R. Fuller. Zero-dimensional subrings of commutative rings; R. Gilmer. The dimension of the tensor product of two particular pullbacks; F. Girolami, S.E. Kabbaj. On the existence of ALEPH1-free Abelian groups of cardinality ALEPH1; R. Göbel, S. Shelah. Warfield duality and module extension over a Noetherian domain; H.P. Goeters. Von Neumann regular rings and direct sum decomposition problems; K.R. Goodearl. Selforthogonal modules; D. Happel. Subrings of finite-dimensional rings; W.J. Heinzer. Primary Abelian groups whose countable subgroups have countable closure; P. Hill, C. Megibben. Isotype separable subgroups of totallyprojective groups; P. Hill, W. Ullery. Representable preradicals with enough projectives; P. Keef. Rings with periodic unit groups; J. Krempa. Abelian groups with contractions II: weak o-minimality; F.V. Kuhlmann. Almost completely decomposable torsion-free Abelian groups; A. Mader. On the exchange property for quasi-continuous modules; S. Mohammed, B.J. Muller. Endomorphism rings of Reid groups; O. Mutzbauer. Completely decomposable subgroups and factors of finite rank completely decomposable groups; L.G. Nongxa, C. Vinsonhaler. On the endomorphism ring of an infinite dimensional vector space; A. Orsatti, N. Rodinò. Some algebraically compact modules I; C.M. Ringel. The near endomorphism ring of an almost completely decomposable group; P. Schulz. Reflexivity of left serial algebras; N. Snashall. On a class of minimal topological modules; A. Tonolo. Steady rings may contain large sets of orthogonal idempotents; J. Trlifaj. The Holy Grail of algebra: seeking complete sets of invariants; P. Vámos. Invariants for almost completely decomposable groups; B.C. Vinsonhaler. A class of modules with semisimple behavior; J.M. Zelmanowitz. The finitistic dimension conjectures &endash; a tale of 3.5 decades; B. Zimmermann Huisgen.