s.Baer and s.Rickart Modules

DOI10.1142/S0219498815501315zbMath1337.16001arXiv1506.07594OpenAlexW3105254762MaRDI QIDQ5255752

Gary F. Birkenmeier, Richard L. LeBlanc

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07594

zbMATH Keywords

idempotentstorsion theoriesdirect sumsprojective modulesBaer ringsright annihilatorsidempotent endomorphismsBaer modulesRickart modulesstrong summand intersection property

Mathematics Subject Classification ID

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) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) General module theory in associative algebras (16D10)

Related Items

Quasi-s.Baer and related modules ⋮ Primitive and prime rings with s.Baer or related modules ⋮ A partial order on subsets of Baer bimodules with applications to C∗-modules ⋮ Annihilators and extensions of idempotent-generated ideals ⋮ π-endo Baer modules

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