几乎有限表现模  

Almost finitely-presented modules

作　　者：黄飞丹[1] 

机构地区：[1]毕节学院数学与计算机科学学院,贵州毕节551700

出　　处：《纯粹数学与应用数学》2012年第2期213-218,237,共7页Pure and Applied Mathematics

基　　金：贵州省教育厅自然科学基金(20090068);贵州省教育厅自然科学基金(黔教科2010072);贵州省科学技术基金(2012GZ10526)

摘　　要：利用几乎有限表现模来刻划凝聚环和半遗传环.通过讨论几乎有限表现模和广义有限表现模之间的关系,得出了几个关于几乎有限表现模和凝聚环、半遗传环的等价条件,改进了已有的结论,把刻划凝聚环的模缩小到几乎有限表现模.Characterize coherent rings and semi-hereditary rings by using almost finitely-presented modules. By studying relations between almost finitely-presented modules and generalized finitely-presented modules, some equivalent conditions about almost finitely-presented modules and coherent rings and semi-hereditary are obtained. As a result, previous conclusions have been improved, and the modules using to characterize coherent rings is reduced to almost finitely-presented modules.

关 键 词：几乎有限表现模 广义有限表现模 凝聚环 半遗传环 

分 类 号：O153.3[理学—数学]