scientific article

zbMath1211.16003MaRDI QIDQ3574163

Nicola Girardi, Alberto Facchini

Publication date: 9 July 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

endomorphismsprojective modulesKrull-Schmidt theoremfinite direct sumscouniform modulesdual Goldie dimensioncokernels of morphismscouniformly presented modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (11)

Auslander–Bridger Modules ⋮ Finite direct sums controlled by finitely many permutations. ⋮ On a category of chains of modules whose endomorphism rings have at most 2nmaximal ideals ⋮ The Krull-Schmidt theorem in the case two. ⋮ The Infinite Krull–Schmidt Property in the Case 2 ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ The Krull-Schmidt theorem holds for finite direct products of biuniform groups ⋮ On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\) ⋮ On a category of extensions whose endomorphism rings have at most four maximal ideals ⋮ Cyclically Presented Modules Over Rings of Finite Type ⋮ Direct products of modules whose endomorphism rings have at most two maximal ideals

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