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On the tensor product of polynomials over a ring

Part of: Computational aspects and applications

Published online by Cambridge University Press:  09 April 2009

S. P. Glasby
S. P. Glasby
Affiliation:
Department of Mathematics, Central Washington University, WA 98926-7424, USA e-mail: glasbys@cwu.edu
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Abstract

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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

Secondary: 13P05: Polynomials, factorization
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

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