On Krull dimension of tensor products of algebras arising from AF-domains

This paper is concerned with the dimension theory of tensor products of algebras over a field k. In fact, we provide a formula for the Krull dimension of Acircle times operatorkB when A andB are k-algebras such that A[n] is an AF-domain for some positive integer n. As an application, we construct a new family of k-algebras A and B for which dim(Acircle times operatorkB) may be computed.