ZGP-V'-环和非奇异环  

ZGP-V′-Rings and Nonsingular Rings

作　　者：鲁琦[1] LU Qi(School of Mathematics and Physics Bengbu University,Bengbu 233030,China)

机构地区：[1]蚌埠学院数理学院,安徽蚌埠233030

出　　处：《牡丹江师范学院学报（自然科学版）》2022年第2期10-12,共3页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：安徽省高校自然科学研究重点项目(KJ2019A0488,KJ2021A1131);安徽省自然科学基金项目(1408085QA01)。

摘　　要：给出ZGP-V'-环是非奇异环的若干充分条件,研究满足有限条件的ZGP-V'-环的非奇异性.(1)设R是左ZGP-V'-环,若R的极大本质左理想均是R的理想,则R是左非奇异环.(2)设R是左ZGP-V'-环,若对任意a∈Z_(l),l(a)l(a^(2))…是有限的,则R是左非奇异环.Some sufficient conditions are given to prove ZGP-V′-rings are nonsingular rings.Nonsingularity of ZGP-V′-rings which satisfy finite conditions are studied.It is proved that:(1)Let R be left ZGP-V′-rings,if every maximal essential left ideals are ideals of R,then R is left nonsingular.(2)Assume R is left ZGP-V′-rings,if for any a∈Z_(l),l(a)l(a_(2))…is finite,then is left nonsingular.

关 键 词：ZGP-内射环 ZGP-V'-环 非奇异环 

分 类 号：O153.3[理学—数学]