NOTE ON THE DW RINGS

Year 2019, Volume: 25 Issue: 25, 43 - 54, 08.01.2019

Mohammed Tamekkante Refat Abdelmawla Khaled Assaad El Mehdi Bouba

https://doi.org/10.24330/ieja.504108

Cited By: 1

Abstract

In this paper we are mainly concerned with DW rings, i.e., rings

in which every ideal is a w-ideal. We give some new classes of DW rings and we

show how the concept of DW domains is used to characterize Prufer domains

and Dedekind domains. Namely, we prove that a ring is a Prufer domain

(resp., Dedekind domain) if and only if it a coherent (resp., Noetherian) DW

domain with nite weak global dimension.

Keywords

DW ring and domain, PvMD, Krull domain

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