On direct sums of Baer modules.

DOI10.1016/j.jalgebra.2008.10.002zbMath1217.16009OpenAlexW2011320340MaRDI QIDQ1012583

Cosmin S. Roman, S. Tariq Rizvi

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.10.002

zbMATH Keywords

idempotentsendomorphism ringsdirect sumsfree modulesdirect summandsBaer ringscoherent ringsextending modulesright annihilatorsquasi-Baer modulesretractable modulesBaer modulessemihereditary rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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