Abstract
We extend the idea of congruences to polynomials with coefficients in a field. The properties of congruences for polynomials are very similar to those for congruences for integers. In particular, the Chinese remainder theorem is valid for polynomials. We develop the ideas in this chapter, and give some applications of the Chinese remainder theorem in the next.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Childs, L.N. (1995). Congruences and the Chinese Remainder Theorem. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8702-0_20
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8702-0_20
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98999-0
Online ISBN: 978-1-4419-8702-0
eBook Packages: Springer Book Archive