Direct-sum decomposition of atomic and orthogonally complete rings
نویسندگان
چکیده
منابع مشابه
Direct-sum Decompositions over Local Rings
Let (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally, Henselian), one has the Krull-Schmidt uniqueness theorem for direct sums of indecomposable finitely generated R-modules. By passing to the m-adic completion b R, we can get a measure of how badly the Krull-Schmidt theorem can fail for a more general local ring. We assign to each finitely generated R-mo...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1970
ISSN: 0004-9735
DOI: 10.1017/s1446788700006777