General
Rational fractions and formal series

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AF39 V1 Article

General


Rational fractions and formal series

Author : Bernard RANDÉ

Publication date: October 10, 2000 | Lire en français

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1. General

1.1 Fractions

In this section, (A , + , · ) denotes an integral commutative ring with multiplicative neutral 1.

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1.1.1 Construction of the body of fractions

On the set F = A x (A – {0}), we define two laws, + and ·, by the conditions : (p, q ) + (p 1 , q 1...

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