Abelian Groups, Module Theory, and Topology: proceedings in honour of Adalberto Orsatti’s 60th birthday (Lecture Notes in Pure and Applied Mathematics)

"Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups." Cover Half Title Title Page Copyright Page Preface Table of Contents Contributors Participants to the Conference Adalberto Orsatti’s Contributions to Mathematics Adalberto Orsatti’s Contribution to Abelian Group Theory Orsatti’s Contribution to Module Theory Orsatti’s Contribution to Topological Albegra List of Adalberto Orsatti’s Publications Research Articles Global Krull Dimension and Global Dual Krull Dimension of Valuation Rings The Lüroth’s Theorem for Some Complete Valued Fields AB-5* for Module and Ring Extensions K0 of Semiartinian Unit-Regular Rings Idempotents of the Class Semigroup of a Prüfer Domain of Finite Character Greatest Common Divisors Generalized On a Problem of Prof. A. Orsatti Subgroups of the Baer–Specker Group with Prescribed Endomorphism Ring and Large Dual Isomorphic Automorphism Groups of Torsion-Free p-adic Modules Strongly Graded Coalgebras and Crossed Coproducts A Theorem on Extensions of Bimodules Commutative Rings with Acc on Irreducible Ideals Self Linearly Compact Rings and Dualities Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, II A Note on Quasi-Duality Endomorphism Rings of Modules Whose Cardinality Is Cofinal to Omega Endomorphism Rings and Automorphism Groups of Separable Torsion-Free Modules over Valuation Domains Torsionless Modules and Rings with Finite Essential Socle Building Noetherian Domains Inside an Ideal-adic Completion G-Minimal Topological Groups An Adjointness Relation for Finite Partition Lattices N-Exchange Rings The Variety of Topological Groups Generated by the Class of All Banach Spaces On Thin Generating Sets in Topological Groups Abelian Topological Groups without Irreducible Banach Representations Cyclic Modules over End(VD) Whose Endomorphism Ring Is an Ultrapower of D Criteria of Steadiness Automorphisms Which Determine an Abelian p-Group Dualities and Pure Semisimple Rings Suitable Sets in Products of Topological Groups and in Groups Equipped with the Bohr Topology On a Duality with “Less than Usual” Reflexive Abstract Modules The Roelcke Compactification of Unitary Groups Tilting in Module Categories With contributions from over 50 distinguished mathematicians from more than 15 countries, Abelian Groups, Module Theory, and Topology investigates currently popular topics in abelian group theory and provides a solution to a longstanding problem on automorphisms of p-groups ... studies endomorphism rings and automorphism groups of torsion-free modules over PIDs and valuation domains ... highlights dualities between the categories of abstract and topological modules, and analyzes self-dual locally compact abelian groups ... investigates modules related to equivalences and dualities ... explores various classes of rings and commutative rings with Acc for irreducible ideals ... provides new structural results for valuation and Prufer domains, as well as a technique to build Noetherian domains inside an ideal-adic completion ... elucidates applications of Roelke uniformity in the study of the unitary groups of Hilbert spaces ... supplies up-to-date information on building minimal group topologies on semidirect products ... and much more Features a selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. This title investigates topics such as Butler groups and almost completely decomposable groups.