Some natural additive decompositions of elements in bimodules

DOI10.1016/j.jpaa.2021.106806zbMath1477.16007OpenAlexW3176566343MaRDI QIDQ1979327

Alberto Facchini, Francesco Pagliuca, Adel N. Alahmadi

Publication date: 2 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106806

zbMATH Keywords

additive decompositionbimodulesemilocal ring

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Noncommutative local and semilocal rings, perfect rings (16L30) Bimodules in associative algebras (16D20)

Cites Work

• Homomorphisms with semilocal endomorphism rings between modules
• Equivalence of diagonal matrices over local rings.
• Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids
• Direct products of modules whose endomorphism rings have at most two maximal ideals
• Intrinsic Characterizations of Some Additive Functors
• Krull-Schmidt fails for serial modules
• Direct-sum decompositions of modules with semilocal endomorphism rings
• Krull-Schmidt Fails for Artinian Modules
• Factorizations of elements in local rings and semilocal rings of finite type
• Semilocal Categories and Modules with Semilocal Endomorphism Rings
• On semilocal rings
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