Esmaeil ROSTAMI, Reza NEKOOEI

On a question about almost prime ideals

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

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.

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