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On Lambek torsion theories

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Publication:1802981
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zbMath0787.16026MaRDI QIDQ1802981

Mitsuo Hoshino

Publication date: 29 June 1993

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

finitely presentedtorsionless modulesfinitely generatedLambek torsion theoryessential monomorphismfaithful, injective, flat left \(R\)-moduleright coherent


Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)


Related Items (6)

Morphisms represented by monomorphisms ⋮ Flat endofinite modules, prime ideals, and duality. ⋮ Relative QF-3' modules and QF-3 modules ⋮ On \(U\)-dominant dimension. ⋮ Noetherian rings of self-injective dikension two ⋮ FTF rings and Frobenius extensions




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