ON DERIVATIONS OF PSEUDO-BL ALGEBRA | ||
| Journal of Algebraic Systems | ||
| دوره 9، شماره 2، فروردین 2022، صفحه 299-322 اصل مقاله (197.55 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.10532.1519 | ||
| نویسندگان | ||
| S. Rahnama1؛ Seid M. Anvariyeh* 1؛ S. Mirvakili2؛ B. Davvaz1 | ||
| 1Department of Mathematics, Yazd University, P.O. Box 8915818411, Yazd, Iran. | ||
| 2Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697 Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| BL-algebra؛ derivation؛ Pseudo-BL algebras | ||
| مراجع | ||
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