摘要
引入了S-Gorenstein平坦模,给出了S-Gorenstein平坦模的一些等价刻画,证明了S-Gorenstein平坦模关于直积封闭,并且证明了S-Gorenstein平坦模类是投射可解类当且仅当S-Gorenstein平坦模类关于扩张封闭.
S-Gorenstein flat modules are introduced,some equivalent characterizations of S-Gorenstein flat modules are given.It is proved that the class of S-Gorenstein flat modules is closed under direct products,and that the class of S-Gorenstein flat modules is projectively resolving if and only if it is closed under extensions.
作者
杨燕妮
YANG Yanni(College of Mathematics and Statistics,Kashi University,Xinjiang Kashi 844008,China;School of Mathematical Science,Nankai University,Tianjin 300071,China)
出处
《河南大学学报（自然科学版）》
CAS
2023年第6期747-751,共5页
Journal of Henan University:Natural Science
基金
新疆维吾尔自治区自然科学基金资助项目(2019D01B04)
