Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497127 | Journal of Pure and Applied Algebra | 2005 | 15 Pages |
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 AâkB 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(AâkB) may be computed.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Samir Bouchiba,