关于弱Gorenstein gr-平坦模  

On Weak Gorenstein Graded Flat Modules

作　　者：宋彦辉 郭婷 SONG Yanhui;GUO Ting(Lanzhou University of Information Science and Technology,,Gansu Lanzhou 730300,China)

机构地区：[1]兰州信息科技学院,甘肃兰州730300

出　　处：《河北师范大学学报（自然科学版）》2024年第5期456-461,共6页Journal of Hebei Normal University：Natural Science

基　　金：甘肃省高校教师创新基金项目(2023B-387)。

摘　　要：设R是分次环,引入了左分次WGF-封闭环,证明了弱Gorenstein gr-平坦模类是投射可解的当且仅当它对扩张封闭;同时,证明了如果R是左分次WGF-封闭环,则弱Gorenstein gr-平坦模类对正向极限封闭.SONG Yanhui;GUO Ting;Lanzhou University of Information Science and Technology;Let R be a graded ring.The concepts of left graded WGF-closed rings are introduced.It is showed that the class of the weak Gorenstein graded flat modules is projectively resolving if and only if it is closed under extensions.Moreover,it is proved that:if R is a left graded WGF-closed ring,then the class of the weak Gorenstein graded flat modules is closed under direct limit.

关 键 词：左分次WGF-封闭环 分次平坦模 弱Gorenstein gr-平坦模 投射可解 正向极限 

分 类 号：O154.2[理学—数学]