Cyclically Presented Modules Over Rings of Finite Type

DOI10.1080/00927870903431183zbMath1225.16002OpenAlexW2007643613MaRDI QIDQ3081511

Afshin Amini, Babak Amini, Alberto Facchini

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903431183

zbMATH Keywords

Krull-Schmidt theoremsemilocal ringsfinite direct sumscyclically presented modulesindecomposable injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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 (5)

Auslander–Bridger Modules ⋮ Finite direct sums controlled by finitely many permutations. ⋮ Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\)

Cites Work

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• Local morphisms and modules with a semilocal endomorphism ring.
• Equivalence of diagonal matrices over local rings.
• Uniqueness of monogeny classes for uniform objects in abelian categories
• Spektralkategorien und reguläre Ringe im von-Neumannschen Sinn
• KERNELS OF MORPHISMS BETWEEN INDECOMPOSABLE INJECTIVE MODULES
• Krull-Schmidt fails for serial modules
• On semilocal rings

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