关于J-polar环（英文）  

On J-polar Rings

作　　者：何亚茹 陈焕艮[1] HE Yaru;CHEN Huanyin(School of Science, Ilangzhou Normal University, Ilangzhou 31003G, China)

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2018年第3期286-292,共7页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supported by the Natural Science Foundation of Zhejiang Province(LY17A010018)

摘　　要：环R中的元素a称为J-polar的,如果存在p∈R使得p2=p∈comm2(a),a+p∈U(R)并且有ap∈J(R).文章证明了一个环R是J-polar的当且仅当它既是quasipolar的又是强rad-clean的,进而研究了理想扩张和平凡扩张的J-polar性.An element α∈R is called J-polar if there exists p∈R such that p^2=p∈ comm^2 （α）,α＋p∈U（R） and αp∈J（R）. This article proves that a ring R is J-polar if and only if R is quasipolar and strongly tad clean. The J polar character with ideal extension and trivial extension is also studied.

关 键 词：quasipolar环 J-Polar环 强regular环 强rad-clean环 

分 类 号：O153.3[理学—数学]