Classifying Modules in Add of a Class of Modules with Semilocal Endomorphism Rings

DOI10.1007/978-3-030-43416-8_15zbMath1440.16007OpenAlexW3033197534MaRDI QIDQ5119703

Pavel Příhoda

Publication date: 1 September 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43416-8_15

zbMATH Keywords

factor categoriesdirect sum decompositions of modulessemilocal endomorphism ring

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) Noncommutative local and semilocal rings, perfect rings (16L30)

Cites Work

• Unnamed Item
• Pure projective modules over chain domains with Krull dimension
• Local morphisms and modules with a semilocal endomorphism ring.
• Projective modules are determined by their radical factors.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids
• Rings with several objects
• On categories of indecomposable modules. I
• MAXIMAL IDEALS IN PREADDITIVE CATEGORIES AND SEMILOCAL CATEGORIES
• Endomorphism Rings with Finitely Many Maximal Right Ideals
• On semilocal rings

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