Author/Authors :
Tamekkante, Mohammed ATOA Team Laboratory MACS - Faculty of Sciences - Moulay Ismail University, Morocco , Khaled Assaad, Refat Abdelmawla Department of Mathematics - Faculty of Sciences - Moulay Ismail University, Morocco , Bouba, El Mehdi Department of Mathematics - Faculty of Sciences - Moulay Ismail University, Morocco
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 Pr¨ufer domains
and Dedekind domains. Namely, we prove that a ring is a Pr¨ufer domain
(resp., Dedekind domain) if and only if it a coherent (resp., Noetherian) DW
domain with finite weak global dimension.
