On the class group of A + (Xu..„ Xn)‎ B[X{,..., Xn] domains

الملخص EN

Let A c B be an extension of integral domains.

We investigate the class group and the homogeneous class group of A + (X,,..., Xn) B[X,,..., Xn] domains.

In the present paper, we develop our results for a more general context, namely, the subring A + B[T*] of the semigroup ring B[T].