Fe b 20 07 Rees ’ s theorem for arbitrary ideals
نویسنده
چکیده
In this work we generalize the celebrated Rees’s theorem for arbitrary ideals in a local ring by using the Achilles-Manaresi multiplicity sequence as a generalization of the Hilbert-Samuel multiplicity.
منابع مشابه
Rees ’ s theorem for arbitrary ideals
In this work we generalize the celebrated Rees’s theorem for arbitrary ideals in a local ring by using the Achilles-Manaresi multiplicity sequence as a generalization of the Hilbert-Samuel multiplicity.
متن کاملN ov 2 00 6 Rees ’ s theorem for arbitrary ideals
In this work we generalize the celebrated Rees’s theorem for arbitrary ideals in a local ring by using the Achilles-Manaresi multiplicity sequence as a generalization of the Hilbert-Samuel multiplicity.
متن کامل6 Rees ’ s theorem for arbitrary ideals
In this work we generalize the celebrated Rees’s theorem for arbitrary ideals in a local ring by using the Achilles-Manaresi multiplicity sequence as a generalization of the Hilbert-Samuel multiplicity.
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Let k be a field. We determine the ideals I in a finitely generated graded k-algebra A, whose associated graded rings ⊕ n≥0 I/I are isomorphic to A. Also we compute the graded local cohomologies of the Rees rings A[It] and give the condition for A[It] to be generalized Cohen-Macaulay under the condition that A is generalized Cohen-Macaulay. MSC: 13A30, 13D45 Introduction Let k be a field and S ...
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The core of ideals was first studied by Rees and Sally [RS], partly due to its connection to the theorem of Briançon and Skoda. Later, Huneke and Swanson [HuS] determined the core of integrally closed ideals in two-dimensional regular local rings and showed a close relationship to Lipman’s adjoint ideal. Recently, Corso, Polini and Ulrich [CPU1,2] gave explicit descriptions for the core of cert...
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تاریخ انتشار 2007