Finite direct sums controlled by finitely many permutations.

DOI10.1216/RMJ-2013-43-3-905zbMath1278.16006OpenAlexW2093621129MaRDI QIDQ2393435

Nicola Girardi

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1375361980

zbMATH Keywords

direct-sum decompositionsKrull-Schmidt theoremlocal endomorphism rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) 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 (1)

Kernels of homomorphisms between uniform quasi-injective modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Krull-Schmidt theorem in the case two.
• Equivalence of diagonal matrices over local rings.
• Serial rings and finitely presented modules
• Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
• MAXIMAL IDEALS IN PREADDITIVE CATEGORIES AND SEMILOCAL CATEGORIES
• Cyclically Presented Modules Over Rings of Finite Type
• Endomorphism Rings with Finitely Many Maximal Right Ideals
• KERNELS OF MORPHISMS BETWEEN INDECOMPOSABLE INJECTIVE MODULES
• Krull-Schmidt fails for serial modules
• Representations of additive categories and direct-sum decompositions of objects

This page was built for publication: Finite direct sums controlled by finitely many permutations.