KARAKTERISTIK RELASI EKUIVALENSI PADA SEMIGRUP

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 ðº,∗ is a Semigroup and 𜌠is an equivalence relation on ðº. Relation 𜌠is called
congruence on ðº if it satisfied these compatible properties as follow : ∀ð‘Ž, ð‘ , 𑡠∈ ðº . 𑠠𜌠ð‘¡
(ð‘Žð‘  𜌠ð‘Žð‘¡ dan ð‘ ð‘Ž 𜌠ð‘¡ð‘Ž )

Keywords : Semigroup, equivalence relation, congruence