Article ID Journal Published Year Pages File Type
9497127 Journal of Pure and Applied Algebra 2005 15 Pages PDF
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 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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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