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Exchange环的比较结构
引用本文:陈焕艮,秦厚荣. Exchange环的比较结构[J]. 数学学报, 2004, 47(2): 389-392. DOI: cnki:ISSN:0583-1431.0.2004-02-022
作者姓名:陈焕艮  秦厚荣
作者单位:1. 湖南师范大学数学系,长沙,410006
2. 南京大学数学系,南京,210093
基金项目:国家自然科学基金资助项目(19801012)
摘    要:本文得到了相关比较Exchange环上模的替代性,并研究了幂比较Exchange 环上模的结构,进而提供了一类新的相关比较:Exchange环.

关 键 词:相关比较性  幂可比较性  Exchange环
文章编号:0583-1431(2004)02-0389-04

The Comparable Structure of Exchange Rings
Huan Yin CHEN. The Comparable Structure of Exchange Rings[J]. Acta Mathematica Sinica, 2004, 47(2): 389-392. DOI: cnki:ISSN:0583-1431.0.2004-02-022
Authors:Huan Yin CHEN
Affiliation:Huan Yin CHEN (Department of Mathematics, Hunan Normal University, Changsha 410006, P. R. China)Hou Rong QING (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China)
Abstract:We obtain a new substitution for modules over exchange rings satisfying the related comparability. Also we investigate the structure of modules over exchange rings satisfying the power comparability, and provide a new class of exchange rings satisfying the related comparability.
Keywords:Related comparability  Power comparability  Exchange ring
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