4 citations · 5 across the 6 of their papers we have counts for
6 papers
On t-reductions of ideals in pullbacks
S. Kabbaj, A. Kadri, A. Mimouni
This paper investigates t-reductions of ideals in pullback constructions. Section 2 examines the correlation between the notions of reduction and t-reduction in pseudo-valuation do…
Integral domains with Boolean t-Class semigroup
S. Kabbaj, A. Mimouni
The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integr…
t-Class semigroups of Noetherian domains
S. Kabbaj, A. Mimouni
The t-class semigroup of an integral domain is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multip…
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…
Class Semigroups of Integral Domains
S. Kabbaj, A. Mimouni
This paper seeks ring-theoretic conditions of an integral domain R that reflect in the Clifford property or Boolean property of its class semigroup S(R), that is, the semigroup of…
t-Class Semigroups of Integral Domains
S. Kabbaj, A. Mimouni
The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by ideal t-multiplication. This paper investigates…