2 citations · 3 across the 8 of their papers we have counts for
8 papers
Ideal Containment in Commutative Rings
Abdeslam Mimouni
Let be a commutative ring with identity. An ideal of is said to be a big ideal (resp. an upper big ideal) if whenever (resp. ), $J^{n}\…
Star-reductions of ideals and Prufer v-multiplication domains
E. Houston, S. Kabbaj, A. Miomouni
Let R be a commutative ring and I an ideal of R. A sub-ideal J of I is a reduction of I if JI^n = I^n+1 for some positive integer n. The ring R has the (finite) basic ideal propert…
On Armendariz-like properties in Amalgamated algebras along ideals
N. Mahdou, A. Mimouni, M. elOuarrachi
Let be a ring homomorphism and be an ideal of . In this paper, we investigate the transfer of Armendariz-like properties to the amalgamation of with…
Corregindium: Krull dimension, Overrings and Semistar operations of an integral Domain
Abdeslam Mimouni
In this note we present a corregindium to our paper "Krull dimension, Overrings and Semistar operations of an integral Domain", Journal of Algebra, 321 (2009), 1497--1509.
Duals and Transforms of Ideals in PVMDs
A. BenObaid, A. Mimouni
In this paper we study when the dual of a -ideal in a is a ring? and we treat the question when it coincides with its endomorphism ring. We also study particular classes…
Well-centered Overrings of a Commutative Ring in Pullbacks and Trivial Extensions
N. Mahdou, A. Mimouni
Let be a commutative ring with identity and its total quotient ring. We extend the notion of well-centered overring of an integral domain to an arbitrary commutative rin…