divisibility
Given integers and , then we say divides if and only if there is some such that .
There are many other ways in common use to express this relationship:
The notion of divisibility can apply to other rings (e.g., polynomials).
Title | divisibility |
Canonical name | Divisibility |
Date of creation | 2013-03-22 11:59:49 |
Last modified on | 2013-03-22 11:59:49 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 11 |
Author | mathcam (2727) |
Entry type | Definition |
Classification | msc 11A51 |
Synonym | divides |
Synonym | divisor |
Synonym | factor |
Synonym | multiple |
Related topic | LeastCommonMultiple |
Related topic | ExampleOfGcd |
Related topic | TauFunction |
Related topic | ExactlyDivides |
Related topic | DivisorSumOfAnArithmeticFunction |
Related topic | StrictDivisibility |
Related topic | FundamentalTheoremOfArithmetic |
Related topic | NumberTheory |