On the asymptotic sequences over an ideal

JOURNAL OF ALGEBRA

卷:441

Article

Jahandoust, Saeed

关键词: Asymptotic sequence;    Asymptotic grade;   

DOI  :  10.1016/j.jalgebra.2015.06.032

来源: Elsevier

【 摘 要 】

Let I be an ideal of a Noetherian ring R. Ratliff has shown that very many known results concerning R-sequences and classical grade have a valid analogue for asymptotic sequences and asymptotic grade. As a generalization of the concepts of asymptotic sequences and asymptotic grade, we introduce the concepts of asymptotic I-sequences and asymptotic I-grade. It is shown that they play a role analogous to asymptotic sequences and asymptotic grade. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free