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On semilocal modules and rings

โœ Scribed by Lomp, Christian


Book ID
120270230
Publisher
Taylor and Francis Group
Year
1999
Tongue
English
Weight
496 KB
Volume
27
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


On semilocal rings
โœ Rosa Camps; Warren Dicks ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 404 KB
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