Content (algebra)

From HandWiki

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.

References

  • B. Hartley; T.O. Hawkes (1970). Rings, modules and linear algebra. Chapman and Hall. ISBN 0-412-09810-5. 
  • Serge Lang (1993). Algebra (3rd ed. ed.). Addison-Wesley. p. 181. ISBN 0-201-55540-9. 
  • David Sharpe (1987). Rings and factorization. Cambridge University Press. pp. 68-69. ISBN 0-521-33718-6.