Abstract
To complete this lab, you should be familiar with the construction of quotient rings of the ring of polynomials over a field F. You should also be familiar with irreducible polynomials over a field. This lab does not presume any other prior knowledge of field extensions. Doing Ring Lab 10 first would be helpful, but it is not necessary.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hibbard, A.C., Levasseur, K.M. (1999). Quadratic Field Extensions. In: Exploring Abstract Algebra With Mathematica®. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1530-1_25
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1530-1_25
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98619-7
Online ISBN: 978-1-4612-1530-1
eBook Packages: Springer Book Archive