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Rings with divisibility on descending chains of ideals

Oussama Aymane Es SafiNajib MahdouÜnsal Tekir — 2024

Czechoslovak Mathematical Journal

This paper deals with the rings which satisfy D C C d condition. This notion has been introduced recently by R. Dastanpour and A. Ghorbani (2017) as a generalization of Artnian rings. It is of interest to investigate more deeply this class of rings. This study focuses on commutative case. In this vein, we present this work in which we examine the transfer of these rings to the trivial, amalgamation and polynomial ring extensions. We also investigate the relationship between this class of rings and the...

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