On S-1-absorbing prime and weakly S-1-absorbing prime ideals
Let A be a commutative ring with identity and S be a multiplicative subset of A. In this paper,
we introduce and study the notions of S-1-absorbing and weakly S-1-absorbing prime ideals …
we introduce and study the notions of S-1-absorbing and weakly S-1-absorbing prime ideals …
[PDF][PDF] Rings in which every nonzero S− weakly prime ideal is weakly prime
C Bakkari, H El-Mzaiti - … Journal of Algebra and Geometry with …, 2024 - ced.fst-usmba.ac.ma
In this paper, we introduce and study a new class of rings with multiplicative subset S which
we'll call S-ME-rings. A ring R with a multiplicative subset S is said to be S-ME-ring if every …
we'll call S-ME-rings. A ring R with a multiplicative subset S is said to be S-ME-ring if every …
Prime Ideals in Lattices and Their Prime Spectrum
N Teshale Amare - International Journal of Mathematics and …, 2024 - Wiley Online Library
In this paper, we explore various characteristics and attributes of M− prime ideals, minimal
M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image …
M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image …
[PDF][PDF] Rings in which every S-prime ideal is prime
C Bakkari, R Hachache - ced.fst-usmba.ac.ma
In this paper, we study the S-α-ring property, that is a ring in which every S− prime ideal is
prime. We investigate the possible transfer of this property to various context of commutative …
prime. We investigate the possible transfer of this property to various context of commutative …