CD Tesis
-Derivasi Dan )-Derivasi Di Bch -Aljabar
This thesis discusses a development of BCH-algebra with addition of
derivations concept in BCH-algebra. BCH-algebra is a nonempty set with binary
operation and constant , and statisfying the certain axioms. A mapping of from
to itself is said to be a derivation in BCH-algebra if is both -derivation
and -derivation in BCH-algebra, where is BCH-algebra. In the research by
adding an endomorphism in BCH-algebra we get the definition of -derivation
and left -derivation in BCH-algebra. Then, the concept of -derivation was
developed into ( )-derivation by adding an endomorphism , so that the
definition of ( )-derivation in BCH-algebra and BCI-algebra we obtained. The
final result is the properties of -derivations in BCH-algebra, -derivation in
BCH-algebra and BCI-algebra that written in several proposition and theorems.
Keywords: BCH-algebra, ( )- -derivation, - -derivation, -derivation,
-derivation
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