CD Tesis
Suatu Kajian T -Derivasi Di Bf-Aljabar, Bn-Aljabar Dan Coxeter Aljabar
In this thesis based on the relationship between BF -algebra, BN -algebra
and Coxeter algebra with B-algebra, a t-derivation concept is defined in the
form of (l, r)-t-derivation and (r, l)-t-derivation in BF -algebra based on the
definition of the concept (l, r)-t-derivation and (r, l)-t-derivation in B-algebra,
then investigated the properties obtained in BF -algebra, BF1-algebra, BN -
algebra and Coxeter algebra. Furthermore, from the development of the concept
of left derivation in BCI-algebra and the concept of t-derivation in B-algebra, a
left t-derivation is defined in one of the special forms of BN -algebra namely BN1-
algebra, then investigated some of related properties of left t-derivation in BN1-
algebra and its composition properties. The main results obtained in this study
are the properties of -t-derivation, -t-derivation and t-derivation which
are generally different in BF -algebra, BF1-algebra, BN -algebra and Coxeter
algebra, but there one similar property obtained. Furthermore, the properties
obtained in the left t-derivation in BN1-algebra are different from t-derivation in
BN -algebra.
Keywords: BF -algebra, BN -algebra, Coxeter algebra, BF1-algebra, BN1-
algebra, -t-derivation, (r, l)-t-derivation, left t-derivatio
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