作者
Reza JAHANINEZHAD
发表日期
2010/1/1
卷号
5
期号
1
页码范围
19-26
出版商
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)
简介
Let R be a commutative integral domain with quotient field K and let P be a nonzero STRONGLY PRIME IDEAL of R. We give several characterizations of such ideals. It is shown that (P: P) is a VALUATION DOMAIN with the unique maximal ideal P. We also study when P-1 is a ring. In fact, it is proved that P-1=(P: P) if and only if P is not invertible. Furthermore, if P is invertible, then R=(P: P) and P is a principal ideal of R.
学术搜索中的文章