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On Krull dimension of tensor products of algebras arising from AF-domains
- Source :
-
Journal of Pure & Applied Algebra . Dec2005, Vol. 203 Issue 1-3, p237-251. 15p. - Publication Year :
- 2005
-
Abstract
- 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]
- Subjects :
- *ALGEBRA
*MATHEMATICAL analysis
*TENSOR products
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 203
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 18782997
- Full Text :
- https://doi.org/10.1016/j.jpaa.2005.03.009