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semi groupe.md
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up::[[structure algébrique]]
title::"ensemble muni d'une [[loi de composition interne|lci]] [[associativité|associative]]"
#s/maths/algèbre
---
up: "[[structure algébrique]]"
tags: "#s/maths/algèbre"
---
----
Soit un ensemble $E$, et $*$ une [[loi de composition interne]] sur $E$.
$(E, *)$ est un _semi-groupe_ ssi :
- $*$ est [[associativité|associative]] dans $E$