divisor
nounUK /dɪˈvaɪ.zə(ɹ)/ · US /dɪˈvaɪ.zɚ/
Arithmetic In an expression involving division, the number by which another number is being divided.
- In "42 ÷ 3" the divisor is the 3.
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.
Algebra, Mathematics, Sciences Broadly 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.
› Any of several kinds of formal object…
Algebraic geometry, Geometry, Mathematics, Sciences An element of the free abelian group on the points of the space.
In the study of Riemann surfaces
Algebraic geometry, Geometry, Mathematics, Sciences A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
On a variety (or integral locally Noetherian scheme)
Algebraic geometry, Geometry, Mathematics, Sciences A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia
On a variety (or integral Noetherian scheme)
- Derived terms
- divisor function, divisorial, greatest common divisor, nondivisor, proper divisor, zero divisor
- Related terms
- successor, + =, + +... =, − =, × =, × ×... =, ÷ =, Or sometimes, =, √ =, log(base) =