%0 Journal Article %T 强Gorenstein C-平坦模<br>Strongly Gorenstein C-flat modules %A 李金兰 %A 梁春丽< %A br> %A LI Jin-lan %A LIANG Chun-li %J 山东大学学报(理学版) %D 2017 %R 10.6040/j.issn.1671-9352.0.2017.136 %X 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。<br>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 %K 强Gorenstein < %K i> %K C< %K /i> %K -投射维数 %K 强Gorenstein平坦模 %K 稳定性 %K 强Gorenstein < %K i> %K C< %K /i> %K -平坦模 %K < %K br> %K strongly Gorenstein flat module %K strongly Gorenstein < %K i> %K C< %K /i> %K -flat module %K stability %K strongly Gorenstein < %K i> %K C< %K /i> %K -projective dimension %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.136