On a question about almost prime ideals

Authors : Esmaeil Rostami, Reza Nekooei

Pages : 620-623

View : 9 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, by giving an example we answer positively the question ``Does there exist a $P$-primary ideal $I$ in a Noetherian domain $R$ such that $PI = I^2$, but $I$ is not almost prime?", asked by S. M. Bhatwadekar and P. K. Sharma. We also investigated conditions under which the answer to the above mentioned question is negative.
Keywords : Almost prime ideal, primary ideal, Noetherian domain