Algebra for Applications by Arkadii Slinko

Author:Arkadii Slinko
Language: eng
Format: epub, pdf
ISBN: 9783030440749
Publisher: Springer International Publishing

All the usual properties of the least common multiple are satisfied. For example, as for the integers, we can prove:

Theorem 5.1.7

Let f(x) and g(x) be two monic polynomials in F[x]. Then

Example 5.1.7

Let and be two polynomials in . We know that . Hence .

Exercises

1.Find the greatest common divisor d(x) of the polynomials and in and represent it in the form .

2.Let and in . Calculate by hand and check with GAP: (a) and its representation in the form ,

(b).

Check that .

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.