Gorenstein Flat Modules of Hopf-Galois Extensions

Qiaoling Guo, Tingting Shan, Bingliang Shen () and Tao Yang
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Qiaoling Guo: Shanghai Technical Institute of Electronics & Information, Shanghai 201411, China
Tingting Shan: Zhejiang College, Shanghai University of Finance & Economics, Jinhua 321013, China
Bingliang Shen: Zhejiang College, Shanghai University of Finance & Economics, Jinhua 321013, China
Tao Yang: College of Science, Nanjing Agricultural University, Nanjing 210095, China

Mathematics, 2023, vol. 11, issue 11, 1-7

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 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.

Keywords: Hopf-Galois extension; Gorenstein flat module; global Gorenstein flat dimension; Finitistic Gorenstein flat dimension; Gorenstein flat precover (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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