Divisibility (ring theory)
Concept in mathematical ring theory / From Wikipedia, the free encyclopedia
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For divisibility in integers, see Divisor. For divisibility in polynomials, see Polynomial § Divisibility.
In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers. With the development of abstract rings, of which the integers are the archetype, the original notion of divisor found a natural extension.
Divisibility is a useful concept for the analysis of the structure of commutative rings because of its relationship with the ideal structure of such rings.