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Gorenstein Flat Modules of Hopf-Galois Extensions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Qiaoling Guo & Tingting Shan & Bingliang Shen & Tao Yang, 2023. "Gorenstein Flat Modules of Hopf-Galois Extensions," Mathematics, MDPI, vol. 11(11), pages 1-7, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2542-:d:1161540
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