关于绝对FP-neat模  

On Absolutely FP-neat Modules

作　　者：黄琳娜 周德旭 HUANG Lin-na;ZHOU De-xu(College of Mathematics and Informatics,Fujian Normal University,Fuzhou 350117 ,China})

机构地区：[1]福建师范大学数学与信息学院,福建福州350117

出　　处：《福建师范大学学报（自然科学版）》2019年第3期1-7,共7页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省自然科学基金资助项目(2015J01002)

摘　　要：作为绝对纯模和绝对neat模的推广,通过有限表示单模引入了绝对FP-neat模,给出了绝对FP-neat模的若干等价刻画,证明了环R是左N-环当且仅当每个绝对FP-neat左R-模都是绝对neat模,并得到了每个绝对FP-neat左R-模都是绝对纯的若干等价条件.As a generalization of absolutely pure modules and absolutely neat modules,this paper uses finitely simple modules to introduce absolutely FP-neat modules,gives some equivalent characterizations of absolutely FP-neat modules,proves that R is left N-ring if and only if every absolutely FP-neat left R-module is absolutely neat,and obtains some equivalent conditions that every absolutely FP-neat left R-module is absolutely pure.

关 键 词：绝对纯模 绝对neat模 绝对FP-neat模 左N-环 

分 类 号：O153.3[理学—数学]