On clean-like conditions in some commutative ring extensions

C Bakkari, M Es-Saidi, N Mahdou… - Indian Journal of Pure …, 2024 - Springer
In this paper, we introduce new classes of rings, namely, n∗-nil clean ring,∑-nil clean ring
and BB-ring, and we study the possible transfer of the notions of n∗-nil clean ring,∑-nil …

On strongly -m-clean rings

MAS Moutui - Indian Journal of Pure and Applied Mathematics, 2023 - Springer
Let m be a positive integer such that m≥ 2. In this paper, we define two new classes of rings
called strongly∑-m-clean ring and m-semiboolean ring which are natural generalizations of …

[PDF][PDF] On∑-nil-good rings

MAS Moutui - ced.fst-usmba.ac.ma
In this paper, we introduce a new concept of ring called∑-nil-good ring as a generalization
of the notion of nil-good ring, in the context of commutative rings. We study some basic …

[PDF][PDF] On 2-nil-clean commutative rings

C Bakkari, M Es-Saidi, MAS Moutui - ced.fst-usmba.ac.ma
On 2-nil-clean commutative rings 1 Introduction Page 1 Moroccan Journal of Algebra and
Geometry with Applications x (xx) (2024), 1–8 …