摘要
主要讨论了具有准素中心或半素中心的环的一些性质,在具有准素中心的条件下,环的正则性与强正则性是一致的,环是π-正则,则环是强π-正则;在具有半素中心的环中,素根与诣零根是相同的,且它们是可换的.
In this paper, we mainly discuss the properties of the rings with primary centers or semiprime centers. If a ring R has primary centers, then regularity and strongly regularity are equivalent; if R is π- regular, then R is strongly π- regular. If R with semiprime centers, then nilradR=prime radR and they are commutative.
出处
《安徽师范大学学报（自然科学版）》
CAS
2007年第1期8-10,14,共4页
Journal of Anhui Normal University(Natural Science)
基金
Supported by Natural Science Foundation of Education Department of Anhui Province(2006KJ050C).
关键词
准素中心
半素中心
正则环
诣零理想
内射模
primary center
semiprime center
strongly regular ring
π- regular ring
nilideal
