Abelian Groups, Module Theory, and Topology

Abelian Groups, Module Theory, and Topology

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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.
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Product details

  • Paperback | 471 pages
  • 216 x 279 x 21.59mm | 862g
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • Illustrated
  • Illustrated
  • 0824719379
  • 9780824719371

Table of contents

Research articles: Global Krull dimensions and global dual Krull dimension of valuation rings; The Luroth theorem for some complete valued fields; AB-5 for module and ring extensions; Ko of semiartinian unit-regular rings; Idempotents of the class semigroup of a Prufer domain of finite character; Greatest common divisors generalized; Subgroups of the Baer-Specker group with prescribed endomorphism ring and large dual; Isomorphic automorphism groups of torsion-free p-acid modules; A theorem on extensions of bimodules; Communicative 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 torsionfree 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; 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 (Vp) whose endomorphism ring is an ultrapower of D; Automorphisms that 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. (Part contents).
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