3 papers
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…
math.AC2006
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…
math.AC2006
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…