Semilocal Categories and Modules with Semilocal Endomorphism Rings

DOI10.1007/978-3-030-23284-9zbMath1444.18002OpenAlexW2981764546MaRDI QIDQ5236596

Alberto Facchini

Publication date: 9 October 2019

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23284-9

zbMATH Keywords

Goldie dimensionKrull-Schmidt theoremadditive categoryKrull monoiduniserial moduleendomorphism ringsemilocal ringpreadditive categoryAuslander-Bridger modulessemilocal category

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutative semigroups (20M14) 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) Preadditive, additive categories (18E05) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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