西北师范大学学报（自然科学版）2026，Vol.62Issue(5)：120-125,132,7.DOI:10.16783/j.cnki.nwnuz.2026.05.015
强n-Gorenstein(L,A)-投射模
Strongly n-Gorenstein(L,A)-projective modules
摘要
Abstract
Letn≥0be an integer and(L,A)a complete duality pair.In this paper,the strongly n-Gorenstein(L,A)-projective module is introduced,and some of its properties are discussed.Then,a characterization is given for the strongly n-Gorenstein(L,A)-projective module with finite Gorenstein(L,A)-projective dimension.Some results related to the strongly n-Gorenstein(L,A)-projective module and the strongly Gorenstein(L,A)-projective module in some special short exact sequences are also obtained.Finally,an equivalent characterization for a Gorenstein(L,A)-projective module being a strongly Gorenstein(L,A)-projective module is provided.关键词
完备的对偶对/强n-Gorenstein(L,A)-投射模/Gorenstein(L,A)-投射维数Key words
complete duality pair/strongly n-Gorenstein(L,A)-projective module/Gorenstein(L,A)-projective dimension分类
数理科学引用本文复制引用
刘嘉莹,陈文静,罗宏蓉..强n-Gorenstein(L,A)-投射模[J].西北师范大学学报（自然科学版）,2026,62(5):120-125,132,7.基金项目
国家自然科学基金资助项目(11901463,12361007) （11901463,12361007）
甘肃省青年科技基金计划项目(20JR5RA517) （20JR5RA517）
