ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS

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概要

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• Let (A, m) be a Noetherian local ring. Let F ={In}n≥0 be a good filtration of ideals in A. Denote by R(F) = ⊕n≥0 Intn the Rees algebra of F. In this paper we investigate the mixed multiplicities of F and the relationship between the multiplicity of R(F) and the mixed multiplicities of F. As an application, we obtain several multiplicity formulas that express the multiplicity of R(F) as a sum of Hilbert-Samuel multiplicities of some quotient rings of A.

著者

• Viet Duong

  Department of Mathematics Hanoi National University of Education

• DINH Le

  Department of Mathematics Hanoi National University of Education

関連論文

• MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS
• ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS

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