On divided and regular divided rings

Year 2019, Volume: 48 Issue: 5, 1454 - 1460, 08.10.2019

Chahrazade Bakkari

Abstract

In this paper, we study the notion of divided and regular divided rings. Then we establish the transfer of these notions to trivial ring extension and amalgamated algebras along an ideal. These results provide examples of non-divided regular divided rings. The article includes a brief discussion of the scope and precision of our results.

Keywords

divided ring, regular divided ring, trivial ring extension, amalgamated algebras along an ideal

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