Rings characterised by semiprimitive modules

DOI10.1017/S0004972700014490zbMath0837.16004MaRDI QIDQ4856672

Yasuyuki Hirano, Dinh Van Huynh, Jae Keol Park

Publication date: 24 January 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

direct sumsprojective modulesJacobson radicalinjective modulesquasi-projective modulessingular modulesCS modules\(SI\)-modulescategory of \(M\)-generated modulesleft \(SI\)-ringssemiprimitive right modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) 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) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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