학술논문
Gorenstein global dimension of recollements of abelian categories.
Document Type
Article
Author
Source
Subject
*ABELIAN categories
*ARTIN algebras
*RING theory
*ARTIN rings
*GORENSTEIN rings
*MATRICES (Mathematics)
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Language
ISSN
0092-7872
Abstract
In this article, we investigate the Gorenstein global dimension with respect to the recollements of abelian categories. With the invariants spli and silp of the categories, we give some upper bounds of Gorenstein global dimensions of the categories involved in a recollement of abelian categories. We apply our results to some rings and artin algebras, especially to the triangular matrix artin algebras. [ABSTRACT FROM AUTHOR]