Gorenstein Flat Modules of Hopf-Galois Extensions-Reference-Cited by-同舟云学术

Gorenstein Flat Modules of Hopf-Galois Extensions

Published:2023-06-01 Issue:11 Volume:11 Page:2542
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Guo Qiaoling¹,Shan Tingting²,Shen Bingliang²,Yang Tao³^ORCID

Affiliation:

1. Shanghai Technical Institute of Electronics & Information, Shanghai 201411, China

2. Zhejiang College, Shanghai University of Finance & Economics, Jinhua 321013, China

3. College of Science, Nanjing Agricultural University, Nanjing 210095, China

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.

Funder

NSF of Zhejiang Province

Scientific research foundation project of Shanghai Technical Institute of Electronics & Information

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/11/2542/pdf

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