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- 2017
强Gorenstein C-平坦模
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Abstract:
摘要： 作为强Gorenstein平坦模的推广, 引入了相对于半对偶化模C的强Gorenstein 平坦模, 即强Gorenstein C-平坦模, 并给出了其若干性质和等价刻画, 比如强Gorenstein C-平坦模类是PC(R)-可解类并且关于直和及直和项封闭, 还研究了强Gorenstein C-平坦模的稳定性。
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
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