NOTE ON THE DW RINGS

Authors : Mohammed TAMEKKANTE, Refat Abdelmawla Khaled ASSAAD, El Mehdi BOUBA

Pages : 43-54

Doi:10.24330/ieja.504108

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Publication Date : 2019-01-08

Article Type : Research Paper

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 insert ignore into journalissuearticles values(resp., Dedekind domain); if and only if it a coherent insert ignore into journalissuearticles values(resp., Noetherian); DW domain with nite weak global dimension.
Keywords : DW ring and domain, PvMD, Krull domain