On SB\'ezout rings

M Chhiti, SE Mahdou, MAS Moutui - arXiv preprint arXiv:2301.07373, 2023 - arxiv.org
In this paper, we introduce the concept of $ S $-B\'ezout ring, as a generalization of B\'ezout
ring. We investigate the relationships between $ S $-B\'ezout and other related classes of …

Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition

MAS Moutui, N Ouled Azaiez, S Koç - Georgian Mathematical …, 2023 - degruyter.com
This paper studies the transfer of pseudo-almost valuation property (PAVR property for
short) to various context of commutative ring extensions such as power series ring, trivial …