Article contents
On the tensor product of polynomials over a ring
Published online by Cambridge University Press: 09 April 2009
Abstract
Given polynomials a and b over an integral domain R, their tensor product (denoted a ⊗ b) is a polynomial over R of degree deg(a) deg(b) whose roots comprise all products αβ, where α is a root of a, and β is a root of b. This paper considers basic properties of ⊗ including how to factor a ⊗ b into irreducibles factors, and the direct sum decomposition of the ⊗-product of fields.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 71 , Issue 3 , December 2001 , pp. 307 - 324
- Copyright
- Copyright © Australian Mathematical Society 2001
References
- 4
- Cited by