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

AbstractThis 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 A⊗kB when A and B 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(A⊗kB) may be computed