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Indecomposable decompositions of modules whose direct sums are CS

✍ Scribed by José L. Gómez Pardo; Pedro A. Guil Asensio


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
94 KB
Volume
262
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Direct sum decompositions of modules, se
✍ Alberto Facchini 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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