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+---
+sr-due: 2023-04-01
+sr-interval: 238
+sr-ease: 333
+alias: ["commutative", "commutatif"]
+---
+up::[[structure algébrique]]
+title::"$\forall (a, b) \in \mathbf{E}^{2},\quad a*b = b*a$"
+#maths/algèbre 
+
+---
+Soit $*$ une [[loi de composition interne]] sur $E$.
+La loi $*$ est _commutative_ ssi :
+$\forall(a,b)\in E^2, a*b=b*a$
+