湖北民族学院数学系,湖北民族学院数学系 湖北恩施445000,湖北,恩施,445000
纸质出版:2003
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[1]朱占敏,谭志松.绝对余纯模[J].新疆大学学报(自然科学版),2003(01):22-25.
朱占敏, 谭志松. 绝对余纯模[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2003, (1).
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.
MegibbenC.Absolutely pure modules[J].ProcAMS,1970,26:561-566.
HiremathV A.Cofinitely generated and cofinitely related modules[J].ActaMathAcadSciHungar,1982,39:1-9.
AndersonF W,FullerK R.Rings and categories of modules[M].Spring-Verlag,NewYock,Heidelberg,1974.
HrikhandeM S.On hereditary and cohereditary modules[J].CanJmath.xxv,1973,(4):892-896.
VAMOS P.On the dual of the notion of finitely generated[J].LondonMathSoc,1968,4(43):643-646.
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