BÉZOUT RINGS AND WEAKLY BÉZOUT RINGS

BÉZOUT RINGS AND WEAKLY BÉZOUT RINGS

In this paper, we study some properties of Bézout and weakly Bézout rings. Then, we investigate the transfer of these notions to trivial ring extensions and amalgamated algebras along an ideal. Also, in the context of domains we show that the amalgamated is a Bézout ring if and only if it is a weakl...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2022, Vol.59 (4), p.843-852
1. Verfasser: El Alaoui, Haitham
Format: Artikel
Sprache:kor
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Zusammenfassung:In this paper, we study some properties of Bézout and weakly Bézout rings. Then, we investigate the transfer of these notions to trivial ring extensions and amalgamated algebras along an ideal. Also, in the context of domains we show that the amalgamated is a Bézout ring if and only if it is a weakly Bézout ring. All along the paper, we put the new results to enrich the current literature with new families of examples of non-Bézout weakly Bézout rings.
ISSN:1015-8634