摘要
本文旨在研究Krasner交换超环R与其上的全矩阵环Mnxn(R)之间的一些内在联系,建立了一个从R的超理想集合到Mnxn(R)的超理想集合之间的双射。进一步,又得到了结论:R是单(素)超环当且仅当Mnxn(R)是单(素)超环。
The main aim of this paper is to study the interplay between a commutative Krasner hyperring R and the matrix ring Mnxn(R) over it. A bijection from the hyperideals set of R to the hyperideals set of Mnxn(R) is established. Furthermore, it is concluded that R is a simple (res. prime) hyperring if and only if Mnxn(R) is a simple (res. prime) hyperring.
出处
《理论数学》
2020年第12期1131-1137,共7页
Pure Mathematics
