Pada artikel ini didefinisikan konsep generalisasi left-right t-derivasi ((l, r)-t-derivasi) dan generalisasi right-left t-derivasi ((r, l)-t-derivasi) di B-aljabar dan diselidiki sifat-sifatnya. Kemudian, juga diselidiki sifat-sifat dari suatu generalisasi t-derivasi yang regular di B-aljabar. Pada bagian akhir, dibahas sifat-sifat generalisasi (l, r)-t-derivasi dan generalisasi (r, l)-t-derivasi di B-aljabar 0-komutatif.
In this paper, another type of derivation in B-algebra is defined, by defining two self-maps, one of which is a derivation in B-algebra (denoted by d) and the other is called generalization of derivation in B-algebra (denoted by D). Based on this definition, some properties of generalized -derivation and generalized -derivation in B-algebra are constructed, then there is one common property, that is if d and D are identity functions, then D is regular. Then, the concept is used as a reference to define the generalized -derivation in B-algebra. In the last section, we discuss some properties of generalized -derivations in B-algebras.
In this paper, another type of derivation in BN1-algebra is defined, which involves an endomorphism of BN1-algebra, namely defining the concepts of left-right -derivation and right-left -derivation (briefly --derivation and --derivation) in BN1-algebras. Based on this definition, some properties of -derivation in BN1-algebras are constructed, then there is one common property, which is if Β is a (l, r)-f-derivation or a (r, l)-f-derivation of X, then Β is a f-derivation of X. Furthermore, some properties of a regular -derivation in BN1-algebras are constructed.
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