CD Skripsi
f q-Derivasi di BM -aljabar dan f q-Derivasi Kiri di B-aljabar
B-algebra is a non-empty set X with a constant 0 and a binary operation ∗,
satisfying the certain axioms. A special form of B-algebra is a BM -algebra. Their
relationship are every BM -algebra is a B-algebra and every 0-commutative Balgebra
is a BM -algebra. The concept of fq-derivation in B-algebra is discussed.
In this thesis, the fq-derivation in BM -algebra and left fq-derivation
in B-algebra are discussed. The results define an inside fq-derivation and an
outside fq-derivation in BM -algebra, and obtain related properties. Then, a left fqderivation
in B-algebra is defined and some of related properties are investigated.
Moreover, the definition of a fq-derivation in BM -algebra is equivalent
to a fq-derivation in B-algebra, but there are differences in their properties. On
the other hand, in B-algebra obtained a definition and some properties of left
fq-derivation, but in BM -algebra the definition of left fq-derivation is the same
as outside fq-derivation.
Keywords: BM -algebra, B-algebra, inside fq-derivation, outside fq-derivation,
left fq-derivation
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