Title
Sequences that Preserve the 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.
Journal Title
Communications in Algebra
Volume
37
Issue/Number
5
Publication Date
1-1-2009
Document Type
Article
First Page
1647
Last Page
1655
WOS Identifier
ISSN
0092-7872
Recommended Citation
"Sequences that Preserve the Homological Degree" (2009). Faculty Bibliography 2000s. 7050.
https://stars.library.ucf.edu/facultybib2000/7050
Comments
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