@ARTICLE{Jahani-Nezhad, author = {Jahani-Nezhad, Reza and }, title = {The Dual of a Strongly Prime Ideal}, volume = {5}, number = {1}, abstract ={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^{&minus1} is a ring. In fact, it is proved that P^{&minus1} = (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. }, URL = {http://ijmsi.ir/article-1-107-en.html}, eprint = {http://ijmsi.ir/article-1-107-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {10.7508/ijmsi.2010.01.003}, year = {2010} }