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Maximally differential ideals in regular local rings

✍ Scribed by Maloo, Alok Kumar

Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
73 KB
Volume
116
Category
Article
ISSN
0370-0089

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## Abstract Let __K__ be the quotient field of a 2‐dimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a

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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