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INTEGRAL CLOSURE AND IDEAL TOPOLOGIES IN MODULES

✍ Scribed by Divaani-Aazar, K.; Naghipour, R.

Book ID
126845203
Publisher
Taylor and Francis Group
Year
2001
Tongue
English
Weight
170 KB
Volume
29
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

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Let R be a commutative Noetherian ring, and let N be a non-zero finitely generated R-module. In this paper, the main result asserts that N is locally unmixed if and only if, for any N-proper ideal α‘Ύ of R generated by ht α‘Ύ N Ε½ . Ε½ n. elements, the topology defined by α‘Ύ N , n G 0, is equivalent to the

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Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric pro