Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.52547/ijmsi
14
8888
13
en
jalali
1389
2
1
gregorian
2010
5
1
5
1
online
1
fulltext
en
The Dual of a Strongly Prime Ideal
عمومى
General
پژوهشي
Research paper
<p>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.</p>
Strongly prime ideal, Divided ideal, Valuation domain.
19
26
http://ijmsi.ir/browse.php?a_code=A-10-1-76&slc_lang=en&sid=1
Reza
Jahani-Nezhad
`10031947532846002129`

10031947532846002129
Yes