Classes of modules with the exchange property

DOI10.1016/0021-8693(84)90075-9zbMath0533.16012OpenAlexW1963547508MaRDI QIDQ789484

Wolfgang Zimmermann, Birge Zimmermann Huisgen

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90075-9

zbMATH Keywords

injective modulesdirect summandfinite exchange propertylinearly compact modulelocal endomorphism ringalgebraically compact moduleartinian modulesexchange property for modulesindecomposable moulessemi- T-nilpotent family of modulesstrongly invariant submodule

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Representation theory of associative rings and algebras (16Gxx)

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