category-theory-presentation/categories/30_How/200_Monads/120_Compare_with_Monoid.html

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<h2 id="compare-with-monoid">Compare with Monoid</h2>
<p>A Monoid is a triplet \((E,∙,e)\) s.t.</p>
<ul>
<li>\(E\) a set</li>
<li>\(∙:E×E→E\)</li>
<li>\(e:1→E\)</li>
</ul>
<p>Satisfying</p>
<ul>
<li>\(x∙(y∙z) = (x∙y)∙z, ∀x,y,z∈E\)</li>
<li>\(e∙x = x = x∙e, ∀x∈E\)</li>
</ul>