JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 25-31.doi: 10.6040/j.issn.1671-9352.0.2017.136

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Strongly Gorenstein C-flat modules

LI Jin-lan, LIANG Chun-li   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-03-31 Online:2017-12-20 Published:2017-12-22

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Abstract: As a generalization of strongly Gorenstein flat modules, the strongly Gorenstein flat modules with respect to a semidualizing modules C, that is, strongly Gorenstein C-flat module are introduced, and some properties and equivalent characterizations are given, for example, the class of Strongly Gorenstein C-flat modules is PC-resolving and closed under direct sums as well as direct summands. Morever, the stability of strongly Gorenstein C-flat modules are investigated.

Key words: strongly Gorenstein flat module, strongly Gorenstein C-flat module, stability, strongly Gorenstein C-projective dimension

CLC Number: 

  • O153.3
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