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Localisation in commutative rings at a prime ideal p - (0), (2)

E Apine, B.N Jelten

Abstract


This paper discuses localization, one of the most important concepts in commutative algebra. A process by which new rings are constructed. The nature of the resulting new ring depends on that of a multiplicative subset of the given ring. This paper also focuses on the extension of the ring of integers Z to that of rational numbers Qthat is embedding the integers into the rational numbers. Some results are stated in this paper.

Keywords: localization, rings



http://dx.doi.org/10.4314/swj.v3i2.51797
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