A question about higher order z-ideals in commutative rings

Research Article

A question about higher order z-ideals in commutative rings

Published in: Quaestiones Mathematicae
Volume 43 , issue 8 , 2020 , pages: 1155–1157
DOI: 10.2989/16073606.2019.1601647
Author(s): A. Benhissi , Tunisia , A. Maatallah , Tunisia

Abstract

Let D be a principal ideal domain, p an irreducible element of D and m a nonzero positive integer. In this paper we show that the ring D/pm D answers the question asked by Dube and Ighedo in [1] concerning higher order z-ideals.

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