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Direct-sum decompositions of modules with semilocal endomorphism rings

✍ Scribed by Facchini, Alberto

Book ID
111880178
Publisher
World Scientific
Year
2012
Tongue
English
Weight
641 KB
Volume
2
Category
Article
ISSN
1664-3607

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πŸ“œ SIMILAR VOLUMES

Direct sum decompositions of modules, se
Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids
✍ Alberto Facchini πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 264 KB

Commutative monoids yield an analogy between the theory of factorization in commutative integral domains and the theory of direct sum decompositions of modules. We show that the monoid V (C) of isomorphism classes of a class C of modules with semilocal endomorphism rings is a Krull monoid (Theorem 3

Direct Sums of Representations as Module
Direct Sums of Representations as Modules over Their Endomorphism Rings
✍ Birge Huisgen-Zimmermann; Manuel SaorΔ±́n πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 178 KB

Our investigation into the endo-structure of infinite direct sums i∈ I M i of indecomposable modules M i -over a ring R with identity-is centered on the following question: If S = End R i∈ I M i , how much pressure, in terms of the S-structure of i∈ I M i , is required to force the M i into finitely