On a Generalization of Semicommutative Rings  

作　　者：Cuizhen DU Long WANG Junchao WEI 

机构地区：[1]School of Mathematical Sciences, Huaibei Normal University [2]Department of Mathematics, Southeast University [3]School of Mathematical Sciences, Yangzhou University

出　　处：《Journal of Mathematical Research with Applications》2014年第3期253-264,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11171291);the Natural Science Fund for Colleges and Universities of Jiangsu Province(Grant No.11KJB110019);the Foundation of Graduate Innovation Program of Jiangsu Province(Grant No.CXZZ12-0082)

摘　　要：In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called left GWZI if for any a ∈ R, l（a） is a GW-ideal of R. We prove that a ring R is left GWZI if and only if S3（R） is left GWZI if and only if Vn（R） is left GWZI for any n≥2.In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called left GWZI if for any a ∈ R, l（a） is a GW-ideal of R. We prove that a ring R is left GWZI if and only if S3（R） is left GWZI if and only if Vn（R） is left GWZI for any n≥2.

关 键 词：semicommutative rings GWZI rings trivial extension. 

分 类 号：O153.3[理学—数学] O159[理学—基础数学]