Definitions from Wiktionary ( )

▸ noun:  (arithmetic) In an expression involving division, the number by which another number is being divided.
▸ noun:  An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
▸ noun:  (algebra, more generally) 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.
▸ noun:  (mathematics, algebraic geometry) 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.
▸ noun:  (in the study of Riemann surfaces) An element of the free abelian group on the points of the space.
▸ noun:  (on a variety (or integral locally Noetherian scheme)) A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
▸ noun:  (on a variety (or integral Noetherian scheme)) A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia

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