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On symmetric bi-derivations of $BL$-algebras

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In this paper, we introduce the notion of two types of symmetric bi-derivations in $BL$-algebra and obtain some results. We study $(\otimes, \vee)$-symmetric bi-derivations on $G\ddot{o}del$ $BL$-algebras and consider isotone symmetric bi-derivations on $BL$-algebra $A.$

Abstract

In this paper, we introduce the notion of two types of symmetric bi-derivations in $BL$-algebra and obtain some results. We study $(\otimes, \vee)$-symmetric bi-derivations on $G\ddot{o}del$ $BL$-algebras and consider isotone symmetric bi-derivations on $BL$-algebra $A.$

참고문헌 (2)

  1. A. Di Nola, "Pseudo BL-algebra : Part I", Multi-valued Log, 8(5-6), pp.673~714 (2002)
  2. P. Hajek, "Metamathematics of fuzzy logic" (1998), Kluwer Academic Publishers

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