中心零可换环

Central Reversible Rings

本文给出了中心零可换环而非中心半交换环的例子,否定地回答了Jung等人在文[Bull.Korean Math.Soc.2015,52(1):247-261]中的一个问题.并证明了如果R是中心约化环,那么对任意正整数n,R[x]/(x^n)是中心对称环.

In this paper, an example of a central reversible ring which is not central semicommutative is constructed, answering a question of Jung et al. [Bull. Korean Math. Soc., 2015, 52（1）： 247-261] negatively. Moreover, it is proved that if R is a central reduced ring, then R[x]/（xn） is a central symmetric ring for any positive integer n.