中山大学学报（自然科学版）2017，Vol.56Issue(2)：48-52,5.DOI:10.13471/j.cnki.acta.snus.2017.02.008
幂级数J-Armendariz环
Power series J-Armendariz rings
摘要
Abstract
By introducing the concept of a power series J-Armendariz ring,the study of power series Armendariz rings is further extended.It is shown that:① let T =(R M) be a formal triangular matrix ring.Then T is a power seriesJ-Armendariz ring if and only if R,S are both power series J-Armendariz rings;② let { Rα |α ∈ A } be a family of rings.Then Π Rα is a power series J-Armendariz ring if and only if every Rα is a power series J-Armendarizring;③ if R is a power series J-Armendarizring and satisfies J(R) [x] =J(R[x]),then R[x] is a power series J-Armendariz ring.关键词
幂级数/幂级数Armendariz环/幂级数J-Armendariz环/幂级数弱Armendariz环Key words
power series/power series Armendariz ring/power series J-Armendariz ring/weak power series Armendariz ring分类
数理科学引用本文复制引用
任艳丽,李敏..幂级数J-Armendariz环[J].中山大学学报（自然科学版）,2017,56(2):48-52,5.基金项目
国家自然科学基金(11101217) （11101217）
江苏省自然科学基金(BK20141476) （BK20141476）
