When Products of Self-Small Modules are Self-Small

DOI10.1080/00927870802070207zbMath1146.16002OpenAlexW2138828600WikidataQ105322632 ScholiaQ105322632MaRDI QIDQ3514781

Jan Žemlička

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802070207

zbMATH Keywords

endomorphism ringsdirect sumsdirect summandsstrongly steady ringsself-small modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items

Warfield dualities induced by self-small mixed groups, Modules Over RM-Domains, A note on mixed \(A\)-reflexive groups., Unnamed Item, Autocompact objects of Ab5 categories

Cites Work

• Unnamed Item
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• On the structure of *-modules
• When every self-small module is finitely generated.
• When is hom_R(M,−) equal to hom_R(M,−) in the category R-gr?
• Classes of generalized ∗-modules
• Dually slender modules and steady rings