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 - a…