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Keywords = Gorenstein flat module

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Article
Gorenstein Flat Modules of Hopf-Galois Extensions
by Qiaoling Guo, Tingting Shan, Bingliang Shen and Tao Yang
Mathematics 2023, 11(11), 2542; https://doi.org/10.3390/math11112542 - 1 Jun 2023
Viewed by 1406
Abstract
Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B, and obtain that [...] Read more.
Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B, and obtain that the global Gorenstein flat dimension and the finitistic Gorenstein flat dimension of A is no more than that of B. Then the problem of preserving property of Gorenstein flat precovers for the Hopf-Galois extension will be studied. Finally, more relations for the crossed products and smash products will be obtained as applications. Full article
(This article belongs to the Special Issue Hopf-Type Algebras, Lie Algebras, Quantum Groups and Related Topics)
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