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Sur le radical permanent dans les algèbres topologiques

Hakima Mouanis; Ahmed Zinedine — 2005

Rendiconti del Seminario Matematico della Università di Padova

Notes on generalizations of Bézout rings

Haitham El Alaoui; Hakima Mouanis — 2021

Commentationes Mathematicae Universitatis Carolinae

In this paper, we give new characterizations of the $P$ - $2$ -Bézout property of trivial ring extensions. Also, we investigate the transfer of this property to homomorphic images and to finite direct products. Our results generate original examples which enrich the current literature with new examples of non- $2$ -Bézout $P$ - $2$ -Bézout rings and examples of non- $P$ -Bézout $P$ - $2$ -Bézout rings.

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