HOMOMORFISMA PADA SEMIGRUP-Г

Ismania Tanjung Sari, Na'imah Hijriati, Thresye Thresye

Abstract


Abstract algebra is a part of mathematics that studies the principles or
rules 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 of
homomorphism and called Γ-homomorphism. A mapping  : S T , with S and T
is a Г-semigroup called Γ-homomorphism if  x, y  S dan γ  Г, it’s exist
 (xγy) =  (x)γ (y).


Keywords


Semigroup, Г-semigroup, Г-homomorphism

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References


Chinram, R. & Tinpun K. Isomorphism Theorems for Г-Semigroups and Ordered Г-Semigroups. Thai Journal of Mathematics 7(2008), 231-234. Prince of Songkla University.

Chinram, R & Sripakorn, R. Minimal Quasi-Ideals in Γ-Semigroups. International Mathematical Forum 4(2009), 7-11. Prince of Songkla University.

Clifford, A. H. & Preston, G. B. 1961. The Algebratic Theory Of Semigroups. American Mathematical Society.

J. M., Howie. 1976. An Introduction To Semigroup Theory. Academic Press.

Sadiku, S. Necessary and Sufficient Conditions Where One Γ-Semigroups is a Γ- Group. Journal of Modern Mathematics and Statistics 4(2010), 44-49. University of Phristina.




DOI: https://doi.org/10.20527/epsilon.v5i2.76

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