The Grothendieck conditon \(AB5^*\) and generalizations of module distributivity

zbMath0905.16002MaRDI QIDQ1390412

German M. Brodskij

Publication date: 18 October 1998

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

lattices of submoduleslinearly compact modulesdirect sumssimple modules\(AB5^*\)-modules\(\omega\)-distributivityco-independent families of submodulescountably distributive modulesindependent families of submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representation theory of lattices (06B15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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