ON DERIVATIONS OF PSEUDO-BL ALGEBRA
نویسندگان
1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697 Tehran, Iran.
2 Department of Mathematics, Yazd University, P.O. Box 8915818411, Yazd, Iran.
3 Department of Mathematics, Yazd University, P.O. Box 8915818411, Yazd, Iran.
4 Department of Mathematics, Yazd University, P.O. Box 8915818411, Yazd, Iran.
doi
10.22044/jas.2021.10532.1519چکیده
Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras.In this paper the notions of five different types of derivations on a \pbl\ as generalizations of derivations of a BL-algebra are introduced. Moreover, as an extension of derivations of a \pbl , the notions of $(\varphi , \psi)$-derivations are defined on these types. Finally, several related properties are discussed.