Content (algebra)
From Wikipedia, the free encyclopedia
In algebra, the content of a polynomial is the highest common factor of its coefficients.
A polynomial is primitive if it has content unity.
Gauss's lemma for polynomials may be expressed as stating that for polynomials over a unique factorization domain, the content of the product of two polynomials is the product of their contents.
See also
References
- B. Hartley; T.O. Hawkes (1970). Rings, modules and linear algebra. Chapman and Hall. ISBN 0-412-09810-5.
- Page 181 of Lang, Serge (1993), Algebra (Third ed.), Reading, Mass.: Addison-Wesley Pub. Co., ISBN 978-0-201-55540-0, Zbl 0848.13001
- David Sharpe (1987). Rings and factorization. Cambridge University Press. pp. 68–69. ISBN 0-521-33718-6.
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