KARAKTERISTIK RELASI EKUIVALENSI PADA SEMIGRUP

Titik Suparwati

Abstract


This research discuss about characters of congruence on Semigroup. It has a strong relationship with a particular relatio on Semigroup called equivalence relation.
Suppose 𝐺,βˆ— is a Semigroup and 𝜌 is an equivalence relation on 𝐺. Relation 𝜌 is called
congruence on 𝐺 if it satisfied these compatible properties as follow : βˆ€π‘Ž, 𝑠, 𝑑 ∈ 𝐺 . 𝑠 𝜌 𝑑
(π‘Žπ‘  𝜌 π‘Žπ‘‘ danΒ π‘ π‘Ž 𝜌 π‘‘π‘Ž )

Keywords : Semigroup, equivalence relation, congruence


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