AU - Jahani-Nezhad, Reza
TI - The Dual of a Strongly Prime Ideal
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 5
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-107-en.html
4100 - http://ijmsi.ir/article-1-107-en.pdf
SO - IJMSI 1
ABĀ - 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.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 19
PT - Research paper
YR - 2010