摘要
引入了绝对纯模的对偶概念——绝对余纯模 ,还引入了半遗传环的对偶概念——余半遗传环 ,给出了绝对余纯模的一些等价刻画 ,研究了绝对余纯模的一些性质 ,并用绝对余纯模刻画了余正则环和余半遗传环 .
In this paper,The dual notion of absolutely pure modules-absolutely copure modules and the dual notion of semihereditary rings-cosemihereditary rings are introduced respectively,some equivalent characterizations of absolutely copure modules are given and some properties of absoloutely copure modules are investigated,coregular rings and cosemihereditary rings are characterized by absolutely copure modules.
出处
《新疆大学学报（自然科学版）》
CAS
2003年第1期22-25,共4页
Journal of Xinjiang University(Natural Science Edition)
基金
湖北省教育厅重点科研项目 ( 99A0 1 9)
