JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 89-92.doi: 10.6040/j.issn.1671-9352.0.2020.155

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Flat bimodules and Gorenstein modules

ZHAO Zhuang, LIANG Li*   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2020-12-01

Abstract: The notion of flat bimodules and get some results of ascent properties of Gorenstein modules under flat ring extensions by flat bimodules are introduced.

Key words: flat bimodule, Gorenstein projective module, Gorenstein injective module, Gorenstein flat module

CLC Number: 

  • O154
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[3] WANG Chao. Gorenstein injective modules over upper triangular matrix Artin algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 89-93.
[4] WANG Xin-xin. Strongly Ω-Gorenstein injective modules [J]. J4, 2013, 48(2): 23-26.
[5] ZHANG Pu. Gorenstein projective modules [J]. J4, 2009, 44(2): 1-13.
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