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On Irreducible Ideals in Local Rings

✍ Scribed by Northcott, D. G.


Book ID
120099702
Publisher
Oxford University Press
Year
1957
Tongue
English
Weight
167 KB
Volume
s1-32
Category
Article
ISSN
0024-6107

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Let A be a finitely generated module over a (Noetherian) local ring R M . We say that a nonzero submodule B of A is basically full in A if no minimal basis for B can be extended to a minimal basis of any submodule of A properly containing B. We prove that a basically full submodule of A is M-primary

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