绝对余纯模

朱占敏; 谭志松

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绝对余纯模

更新时间：2026-01-21

- 绝对余纯模
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Issue 1, (2003)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
  CLC： O153.3
- Published：2003
- 稿件说明：
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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).
[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. DOI：

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). DOI：

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 .

Abstract

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.

关键词

Keywords

references

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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