CD Tesis
Companion Bn1-Aljabar Dan Companion Bn1-Homomorfisma
This thesis discusses a develompment of BN1-algebra with addition of
companion and homomorphism concepts. An algebra statifies of companion
if there is an operation ⊙, then ((x ⊙ y)x) ∗ y = 0 and (z ∗ x) ∗ y = 0 ⇒
z ∗ (x ⊙ y) = 0. In this thesis, we develop the formula definition of companion
BN1-algebra. Then a mapping ' : X → Y is said to be a homomorphism, if it
statisfies '(x ∗1 y) = '(x) ∗2 '(y). Furthermore by adding companion on BN1-
algebra, we get the definition of companion BN1-aljabar. After that, we get
the definition of companion BN1-homomorphism by adding homomorphism
concept. The final result is the properties of of companion BN1-algebra and
companion BN1-homomorphism that written in several theorems, such as being
single, comutative with certain axioms and has specified identity.
Keywords: BN-algebra , BN1-algebra , Companion, Homomorphism
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