摘要
引进了SGN-环(Strong GN-环),给出了判断一个模是FGT-内射模或FGT-投射模的充要条件,对FGT-内射维数和FGT-投射维数作了讨论,并对有限FGT-维数的环类进行了刻划。
In this paper, SGN-ring is introduced, some sufficient and necessary conditions which judge a module is FGT-projective module or FGT-injective module are given. FGT-projective dimension and FGT-injective dimension are discussed and the rings of finite FGT-dimensions are described.
出处
《广西师范大学学报（自然科学版）》
CAS
1993年第3期10-20,共11页
Journal of Guangxi Normal University:Natural Science Edition
关键词
GN环
FGT内射
模
FGT投射
GN-ring
SGN-ring
FGT-projectivity
FGT-injectivity
