학술논문

Generalized Tate cohomology and Avramov–Martsinkovsky type sequences.
Document Type
Article
Source
Journal of Algebra & Its Applications. Mar2024, Vol. 23 Issue 3, p1-15. 15p.
Subject
*ABELIAN categories
*COHOMOLOGY theory
Language
ISSN
0219-4988
Abstract
Let be an abelian category with enough projectives. In the category of -complexes, we introduce generalized Tate cohomology with respect to subcategories, and show that there is an Avramov–Martsinkovsky type exact sequence connecting the absolute cohomology, relative cohomology and generalized Tate cohomology. [ABSTRACT FROM AUTHOR]