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 ring-theoretic properties of an integral domain that reflect reciprocally in the Clifford or Boolean property of its t-class semigroup. Contexts (including Lipman and Sally-Vasconcelos stability) that suit best t-mult...

Abstract We show that the theory of Galois actions a torsion Abelian group A is companionable if and only if, for each prime p , -primary part either finite or it coincides with Prüfer -group. also provide model-theoretic description model companions we obtain.