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Geometric regularity of direct-sum decompositions in some classes of modules

✍ Scribed by A. Facchini


Publisher
Springer US
Year
2006
Tongue
English
Weight
163 KB
Volume
139
Category
Article
ISSN
1573-8795

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Direct sum decompositions of modules, se
✍ 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