广义半交换环的一点注记  

Some Notes on General Semicommutative Rings

作　　者：董珺[1] 魏杰[1] 

机构地区：[1]兰州工业学院基础学科部,甘肃兰州730050

出　　处：《兰州工业学院学报》2015年第3期76-80,共5页Journal of Lanzhou Institute of Technology

基　　金：国家自然科学基金资助项目(11101197)

摘　　要：讨论了弱α-半交换环与nil-半交换环的关系.证明了在nil-半交换条件下,弱α-半交换环与α-skew π-Armendariz环的关系.推广了(α-)半交换环与弱α-skew Armendariz环的相关结论.This paper discusses the relationships between nil-semicommutative rings and weak α-semicommuta-tive rings. The relations between general α-semicommutative rings and weak α-skew p-Armendariz rings are giv-en. Several known results can be obtained as corollaries of our results.

关 键 词：弱α-半交换环 nil-半交换环 α-skew p-Armendariz环 

分 类 号：O153.3[理学—数学]