摘要
证明了Abelian π-正则环的每个理想均为一些准素理想的交.并进一步证明了一个Abelian π-正则环R的理想具有准素分解当且仅当R只有有限个完全素理想.
Assume that R is an Abelian n-regular ring. We prove that every ideal of R is the intersection of some pri- mary ideals of R. Further, we prove that each ideal of R has primary decomposition if and only if the number of completely prime ideals of R is finite.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2014年第4期373-375,共3页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(61074005)
