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

Abstract: 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 when A and B are k-algebras such that 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() may be computed. [Copyright &y& Elsevier]