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Notes on G-Algebra and its Derivations |
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PP: 287-292 |
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doi:10.18576/msl/060310
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Author(s) |
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Deena Al-Kadi,
Rodyna Hosny,
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Abstract |
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| In this paper we generate a G-algebra from a non-empty set and we obtain the quotient G-algebra via normal subalgebra.
Furthermore, we prove a fundamental theorem on homomorphism for G-algebra. We prove that every G-algebra satisfying the
associative law is a 2-group. We also show that every BP-algebra is a G-algebra and introduce a necessary condition for which the
converse will be true. Finally, we introduce the notion of a left-right (resp. right-left) derivation of G-algebra. We show that the
composition of two derivations is a derivation and we investigate some related properties. |
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