t-class semigroups of Noetherian domains
Samir Kabbaj, A. Mimouni · 2009
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 induced by ideal t-multiplication.This paper investigates ring-theoretic properties of a Noetherian domain that reflect reciprocally in the Clifford or Boolean property of its t-class semigroup.