摘要
讨论了在约化条件下,比平凡扩张更广泛的一类扩张环的半交换性.通过给出半交换模的定义,得到平凡扩张是半交换环的一个充要条件.
We investigate the semicommutative properties of those rings under the reduced condition which are more generalized than trivial extensions. Next the definition of semicmmutative module is given, and we obtain a necessary and sufficient condition for a trivial extension to be semicommutative ring.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第1期121-124,共4页
Pure and Applied Mathematics
关键词
约化环
半交换环
平凡扩张
半交换模
reduced ring, semicommutative ring, trivial extension, semicommutative module
