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category-theory-presentation/categories/30_How/200_Monads/120_Compare_with_Monoid.md
Yann Esposito (Yogsototh) 60135c8697 initial commit see my ykeynote repo for history
2013-02-28 16:49:12 +01:00

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Compare with Monoid

A Monoid is a triplet \((E,∙,e)\) s.t.

  • \(E\) a set
  • \(∙:E×E→E\)
  • \(e:1→E\)

Satisfying

  • \(x∙(y∙z) = (x∙y)∙z, ∀x,y,z∈E\)
  • \(e∙x = x = x∙e, ∀x∈E\)