Representations of quivers over a ring and the Weak Krull–Schmidt Theorems

DOI10.1515/form.2011.077zbMath1280.16017OpenAlexW2315109592MaRDI QIDQ2905088

Nicola Girardi

Publication date: 24 August 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.077

zbMATH Keywords

direct-sum decompositionsindecomposable representationsquiver representationsKrull-Schmidt theoremlocal endomorphism 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) Representations of quivers and partially ordered sets (16G20) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (1)

Finite direct sums controlled by finitely many permutations.

Cites Work

• Equivalence of diagonal matrices over local rings.
• Rings with several objects
• Krull-Schmidt fails for serial modules
• Representations of additive categories and direct-sum decompositions of objects

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