JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (12): 74-78.doi: 10.6040/j.issn.1671-9352.0.2018.756

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Ding projective modules over Frobenius extensions

WANG Zhan-ping, ZHANG Rui-jie*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2019-12-11

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Abstract: Ding projective modules over Frobenius extensions and Ding projective dimensions are investigated. Let R⊂A be a separable Frobenius extension, and let M be any left A-module. It is proved that M is a Ding projective left A-module if and only if M is Ding projective left R-module if and only if ARM and HomR(A,M) are Ding projective left A-modules. Some the conclusion on Ding projective Dimensions are obtained.

Key words: Frobenius extensions, Ding projective modules, Ding projective dimensions

CLC Number: 

  • O153.3
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