divisor

Short definition from Wiktionary

Noun

1. 1
   In an expression involving division, the number by which another number is being divided.
2. 2
   An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
3. 3
   An integer that divides another integer an integral number of times, the former being called a divisor of the latter: A ring element which can be multiplied (by some other ring element) to yield a third ring element, the first being called a divisor of the third. If the ring is noncommutative, then one specifies whether a divisor is left, right, or two-sided.
4. 4
   Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces: An element of the free abelian group on the points of the space.
5. 5
   Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces: A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
6. 6
   Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces: A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia