Arithmetic degree and associated graded modules
نویسندگان
چکیده
منابع مشابه
Sally Modules and Associated Graded Rings
To frame and motivate the goals pursued in the present article we recall that, loosely speaking, the most common among the blowup algebras are the Rees algebra R[It] = ⊕∞ n=0 I ntn and the associated graded ring grI(R) = ⊕∞ n=0 I n/In+1 of an ideal I in a commutative Noetherian local ring (R,m). The three main clusters around which most of the current research on blowup algebras has been develo...
متن کاملGraded Rings and Modules
1 Definitions Definition 1. A graded ring is a ring S together with a set of subgroups Sd, d ≥ 0 such that S = ⊕ d≥0 Sd as an abelian group, and st ∈ Sd+e for all s ∈ Sd, t ∈ Se. One can prove that 1 ∈ S0 and if S is a domain then any unit of S also belongs to S0. A homogenous ideal of S is an ideal a with the property that for any f ∈ a we also have fd ∈ a for all d ≥ 0. A morphism of graded r...
متن کاملDifferential Graded Modules and Cosimplicial Modules
The ultimate purpose of this part is to explain the definition of models for the rational homotopy of spaces. In our constructions, we use the classical Sullivan model, defined in terms of unitary commutative cochain dg-algebras, and a cosimplicial version of this model, involving cosimplicial algebra structures. The purpose of this preliminary chapter is to provide a survey of constructions on...
متن کاملj-Multiplicity and depth of associated graded modules
Article history: Received 16 September 2011 Available online 24 January 2013 Communicated by Steven Dale Cutkosky
متن کاملGraded Specht Modules
Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we explain how to grade Specht modules over these algebras.
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2004
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-004-0492-7