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.
Almost prime ideal, primary ideal, Noetherian domain
ROSTAMI, ESMAEIL and NEKOOEI, REZA
"On a question about almost prime ideals,"
Turkish Journal of Mathematics: Vol. 40:
3, Article 11.
Available at: https://journals.tubitak.gov.tr/math/vol40/iss3/11