Article | REF: AF35 V1

Body of real numbers

Author: Gérard DEBEAUMARCHÉ

Publication date: April 10, 2001

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1. General information about bodies

1.1 Defining bodies and sub-bodies

Recall that any application (x, y) → x * y associating any pair (x, y) of E × E with an element of E, noted here x * y, is called an "internal composition law" (or more simply "operation") on a non-empty set E.

By way of example, here are some well-known laws of internal composition:

  • in the set ...

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General information about bodies