Supporting degrees of multi-graded local cohomology modules

JOURNAL OF ALGEBRA

卷:321

Article

Brodmann, Markus R.²  Sharp, Rodney Y.¹ 

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

[2] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

关键词: Multi-graded commutative Noetherian ring;    Multi-graded local cohomology module;    Associated prime ideal;    Multi-graded injective module;    Bass numbers;    Shifts;    Anchor points;    Finitely graded module;    The Annihilator Theorem for local cohomology;    Grade;   

DOI  :  10.1016/j.jalgebra.2008.10.013

来源: Elsevier

【 摘 要 】

For a finitely generated graded Module M over a positively-graded commutative Noetherian ring R. the second author established ill 1999 some restrictions, which call be formulated in terms of the Castelnuovo regularity of M or the so-called a*-invariant of M, oil the supporting degrees of a graded-indecomposable graded-injective direct summand, with associated prime ideal containing the irrelevant ideal of R, of any term in the minimal graded-injective resolution of M. Earlier, in 1995, 1 Marley had established connections between finitely graded local cohomology modules of M and local behaviour of M across Proj(R). The Purpose of this paper is to present some multi-graded analogues of the above-mentioned work. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free