divisor

noun7

1. •
   In an expression involving division, the number by which another number is being divided.

   • In "42 ÷ 3" the divisor is the 3.
2. •
   An integer that divides another integer an integral number of times, the former being called a divisor of the latter.

   • 10 is a divisor of 100, but not of 101.
   • The positive divisors of 6 are 1, 2, 3 and 6.
3. •
   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. •
   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.
5. •
   An element of the free abelian group on the points of the space.
6. •
   A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
7. •
   A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia