Abelian Groups, Module Theory, and TopologyDikran Dikranjan, Luigi Salce 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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abelian topological group Algebra annihilator assume automorphism bimodule canonical cardinal closed coalgebra commutative ring compact abelian group contains Corollary cotopology countable defined denote dense direct sum direct summand discrete divisor element endomorphism ring equivalent exact sequence example exists finitely cogenerated functor Gen(P group G Hausdorff hence Homº homomorphism idempotents implies indecomposable infinite injective injective modules integer irreducible Kasch Krull dimension lattice left ideal left R-module Lemma linear linearly compact rings locally compact abelian Math Mathematics matrices maximal ideal Menini minimal Mod-S Moreover Morita duality morphism Noetherian Noetherian ring nonzero Orsatti prime ideal Proof Proposition prove Prüfer domain pure semisimple quotient R-Mod R-module representation resp result right ideal right R-module selfduality semiartinian socle subcategory subgroup submodule subset suitable set supersequence Theorem Theory tilting modules topological group topological modules topologically isomorphic torsion torsion-free valuation domain valuation ring