Title

Sequences That Preserve The Homological Degree

Keywords

Arithmetic degree; Cohomological degrees; Homological degree

Abstract

The homological degree is a cohomological degree generalizing the classical degree function of a module. Given a finitely generated graded module M, over a standard graded ring A, this note is concerned with the question of when, for an element x in the augmentation ideal of A that is not in any associated prime of M other than the augmentation ideal itself, the homological degree of M is equal to the homological degree of M/xM. This question is answered when the dimension of M is one or two. Copyright © Taylor & Francis Group, LLC.

Publication Date

5-1-2009

Publication Title

Communications in Algebra

Volume

37

Issue

5

Number of Pages

1647-1655

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/00927870802209995

Socpus ID

69249203809 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/69249203809

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