A. Mimouni

collaborators

4 papers

math.AC2009

Duals and Transforms of Ideals in PVMDs

A. BenObaid, A. Mimouni

In this paper we study when the dual of a $t$ -ideal in a $P V M D$ is a ring? and we treat the question when it coincides with its endomorphism ring. We also study particular classes…

math.AC2009

Well-centered Overrings of a Commutative Ring in Pullbacks and Trivial Extensions

N. Mahdou, A. Mimouni

Let $R$ be a commutative ring with identity and $T (R)$ its total quotient ring. We extend the notion of well-centered overring of an integral domain to an arbitrary commutative rin…

math.AC2006

On the Set of $t$ -Linked Overrings of an integral domain

Abdeslam Mimouni

et $R$ be an integral domain with quotient field $L$ . An overring $T$ of $R$ is $t$ -linked over $R$ if $I^{- 1} = R$ implies that $(T : I T) = T$ for each finitely generated ideal $I$ of $…

math.AC2006

Constituent Groups of Clifford Semigroups Arising from t-Closure

S. Kabbaj, A. Mimouni

The t-class semigroup of an integral domain R, denoted S_t(R), is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induce…

Duals and Transforms of Ideals in PVMDs

Well-centered Overrings of a Commutative Ring in Pullbacks and Trivial Extensions

On the Set of t-Linked Overrings of an integral domain

Constituent Groups of Clifford Semigroups Arising from t-Closure

On the Set of $t$ -Linked Overrings of an integral domain