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Local Morphisms and Modules with a Semilocal Endomorphism Ring

โœ Scribed by Alberto Facchini; Dolors Herbera


Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
259 KB
Volume
9
Category
Article
ISSN
1386-923X

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๐Ÿ“œ SIMILAR VOLUMES


Direct sum decompositions of modules, se
โœ Alberto Facchini ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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