A Characterization of n-Gorenstein Tilting Comodules

The aim of this paper is to introduce the concept of n -Gorenstein tilting comodules and study its main properties. This concept generalizes the notion of n -tilting comodules of finite injective dimensions to the case of finite Gorenstein injective dimensions. As an application of our results, we d...

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Bibliographic Details
Published in:Applied categorical structures 2022-12, Vol.30 (6), p.1135-1152
Main Authors: Li, Yexuan, Yao, Hailou
Format: Article
Language:English
Subjects:
Convex and Discrete Geometry
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Theory of Computation
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Summary:The aim of this paper is to introduce the concept of n -Gorenstein tilting comodules and study its main properties. This concept generalizes the notion of n -tilting comodules of finite injective dimensions to the case of finite Gorenstein injective dimensions. As an application of our results, we discuss the problem of existence of complements to partial n -Gorenstein tilting comodules.
ISSN:0927-2852
1572-9095
DOI:10.1007/s10485-022-09688-8