关于多余余满可缩模  

On Superfluous Co-epi-retractable Modules

作　　者：游艳艳[1] 周德旭[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350117

出　　处：《福建师范大学学报（自然科学版）》2013年第6期6-9,共4页Journal of Fujian Normal University：Natural Science Edition

摘　　要：引入多余余满可缩模与本质满可缩模,得到了多余余满可缩模具有Morita不变性,证明了在Morita对偶下多余余满可缩模与本质满可缩模构成了Morita对偶对.同时研究了多余余满可缩环的性质,证明了右多余余满可缩的右PP环是半本原环.Introduce superfluous co-epi-retractable modules and essential epi-retractable mod- ules, obtain that being superfluous co-epi-retractable modules is a Morita invariant, and prove that superfluous co-epi-retractable modules and essential epi-retractable modules are dual each other un- der Morita duality. Also study the characterizations of superfluous co-epi-retractable rings, show thatevery right superfluous co-epi-retractable and right PP ring is semiprimitive.

关 键 词：多余余满可缩模 本质满可缩模 半本原环 

分 类 号：O153.3[理学—数学]