Identity element

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Given a magma $(M,*)$ , an element $e$ is an identity element if, for all $x$ in $M$ ,
$e*x=x*e=x.$ Forcefully, if an identity element exists, it has to be unique.

Remarks

A magma with an identity element is called unital magma.

Practice this concept with exercises

Let $(M,*)$ be a unital magma with identity element $e$ . Show that $e$ is unique.

Open exerciseDifficulty 14/100 · 1 solution · 0 hints

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