Affiliation:
1. Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam
Abstract
The aim of this paper is to introduce a new notion of sequences called dd-sequences and show that this notion may be convenient for studying the polynomial property of partial Euler–Poincaré characteristics of the Koszul complex with respect to the powers of a system of parameters. Some results about the dd-sequences, the partial Euler–Poincaré characteristics and the lengths of local cohomology modules are also presented in the paper. There are also applications of dd-sequences on the structure of sequentially Cohen–Macaulay modules.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
16 articles.
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