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    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)

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    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)