Basically Full Ideals in Local Rings
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William J. Heinzer; Louis J. Ratliff Jr.; David E. Rush
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Article
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2002
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Elsevier Science
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English
β 193 KB
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