KRULL-SCHMIDT THEOREM AND HOMOGENEOUS SEMILOCAL RINGS

DOI10.1081/AGB-100002124zbMath0996.16014OpenAlexW1972615389MaRDI QIDQ2752392

Francesco Barioli, Alberto Facchini, José Ríos Montes, Francisco Raggi

Publication date: 15 July 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002124

zbMATH Keywords

direct summandsJacobson radicalKrull-Schmidt theoremindecomposable decompositionslocal endomorphism ringsorthogonal idempotentsdirect decompositionshomogeneous semilocal ringsalmost semiperfect rings

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

Related Items (2)

Unnamed Item ⋮ Extensions of Rings with Many Units

Cites Work

• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• \(K_0\) of a semilocal ring
• On endomorphism rings of quasiprojective modules
• Krull-Schmidt fails for serial modules
• On semilocal rings

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