Divisor (ring theory): Difference between revisions
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imported>J. Noel Chiappa m (Check your links, all!) |
imported>Barry R. Smith (rewrote intro) |
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In [[mathematics]], the notion of a '''divisor''' originally arose within the context of arithmetic of whole numbers. Please see the page about [[divisor]]s for this simplest example. With the development of abstract [[Ring (mathematics)|rings]], of which the integers are the archetype, the original notion of divisor found a natural extension. | In [[mathematics]], the notion of a '''divisor''' originally arose within the context of arithmetic of whole numbers. Please see the page about [[divisor]]s for this simplest example. With the development of abstract [[Ring (mathematics)|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. | ||
Revision as of 17:58, 29 March 2008
In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers. Please see the page about divisors for this simplest example. 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.