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HOMOMORFISMA PADA SEMIGRUP-Г Ismania Tanjung Sari; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 2 (2011): JURNAL EPSILON VOLUME 5 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (322.578 KB) | DOI: 10.20527/epsilon.v5i2.76

Abstract

Abstract algebra is a part of mathematics that studies the principles orrules which will then be used to demonstrate the truth of a statement (theorem).One part of abstract algebra is semigroup and one of it’s generalization is Г-semigroup. An nonempty sets S is called Г-semigroup if  γ, μ  Г and  a, b, c S by aγb  S and (aγb)μc = aγ(bμc). On Г-semigroup, there is theorem ofhomomorphism and called Γ-homomorphism. A mapping  : S T , with S and Tis a Г-semigroup called Γ-homomorphism if  x, y  S dan γ  Г, it’s exist (xγy) =  (x)γ (y).