Annihilator Condition on Power Values of Commutators with Derivations  

作　　者：Shuliang HUANG 

机构地区：[1]School of Mathematics and Finance, Chuzhou University

出　　处：《Journal of Mathematical Research with Applications》2019年第5期489-494,共6页数学研究及应用（英文版）

基　　金：Supported by the Natural Science Foundation of Anhui Province(Grant Nos.1808085MA14; 1908085MA03);the Key University Science Research Project of Anhui Province(Grant No.KJ2018A0433);Research Project of Chuzhou University(Grant No.zrjz2017005)

摘　　要：Let R be a prime ring with center Z(R), I a nonzero ideal of R, d a nonzero derivation of R and 0≠ a ∈ R. In the present paper, our object is to study the situation a[d(xk);xk]n ∈Z(R) for all x∈I under certain conditions, where n (≥ 1), k (≥ 1) are fixed integers.Let R be a prime ring with center Z(R), I a nonzero ideal of R, d a nonzero derivation of R and 0≠a ∈ R. In the present paper, our object is to study the situation a[d(xk), xk]n∈ Z(R) for all x ∈ I under certain conditions, where n(≥ 1), k(≥ 1) are fixed integers.

关 键 词：PRIME ring DERIVATION extended CENTROID 

分 类 号：O1[理学—数学]