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  1. No Access

    Article

    Ring–theoretic properties of locally Mori domains and rings of the form \(\mathrm {Int}(E,D)\)

    An integral domain D is said to be locally Mori if any localization of D at a maximal ideal is a Mori domain. In this paper we are concerned with some ring–theoretic properties of locally Mori domains and their r...

    Omar Ouzzaouit, Ali Tamoussit in São Paulo Journal of Mathematical Sciences (2023)

  2. No Access

    Article

    Noetherian-like properties and zero-dimensionality in some extensions of rings

    This paper investigates the transfer of the locally Noetherian property to flat overrings, Serre and Nagata rings, trivial ring extensions, the finite direct product of rings, and amalgamated duplications. We ...

    Hwankoo Kim, Omar Ouzzaouit, Ali Tamoussit in Afrika Matematika (2023)

  3. No Access

    Article

    FMR-rings in some distinguished constructions

    A ring R is called an FMR-ring if it is finite modulo all its maximal ideals. In this paper, we investigate some properties of FMR-rings in various ring extensions. Mainly we are concerned with the charachterizat...

    Omar Ouzzaouit, Ali Tamoussit in Rendiconti del Circolo Matematico di Palermo Series 2 (2023)

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    Chapter and Conference Paper

    Pairs of Rings Whose All Intermediate Rings Are G–Rings

    A G–ring is any commutative ring R with a nonzero identity such that the total quotient ring \(\mathbf {T}(R)\) ...

    Lahoucine Izelgue, Omar Ouzzaouit in Homological and Combinatorial Methods in Algebra (2018)