### Strongly Gorenstein C-flat modules

LI Jin-lan, LIANG Chun-li

1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

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.

CLC Number:

• O153.3
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