Primitive part and content: Difference between revisions

Revision as of 04:09, 14 January 2009

Revision as of 04:09, 14 January 2009

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In [[algebra]], the '''content''' of a [[polynomial]] is the [[highest common factor]] of its coefficients.

A polynomial is ''[[Primitive polynomial|primitive]]'' if it has content unity.

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[[Gauss's lemma (polynomial)|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==

* {{cite book | author=B. Hartley | authorlink=Brian Hartley | coauthors=T.O. Hawkes | title=Rings, modules and linear algebra | publisher=Chapman and Hall | year=1970 | isbn=0-412-09810-5 }}

* {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55540-9 | page=181 }}

* {{cite book | author=David Sharpe | title=Rings and factorization | publisher=[[Cambridge University Press]] | year=1987 | isbn=0-521-33718-6 | pages=68-69 }}

[[Category:Algebra]]

[[Category:Polynomials]]

{{algebra-stub}}

[[de:Inhalt (Polynom)]]