Divisor (of an integer or of a polynomial)
From Encyclopedia of Mathematics
of an integer 
An integer 
which divides the number 
without remainder. In other words, a divisor of the integer 
is an integer 
such that, for a certain integer 
, the equality 
holds. A divisor of a polynomial 
is a polynomial 
that divides 
without remainder (cf. Division). More generally, in an arbitrary ring 
a divisor of an element 
is an element 
such that 
for a certain 
.
How to Cite This Entry:
Divisor (of an integer or of a polynomial). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divisor_(of_an_integer_or_of_a_polynomial)&oldid=16756
Divisor (of an integer or of a polynomial). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divisor_(of_an_integer_or_of_a_polynomial)&oldid=16756
This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article