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In this paper, we introduce the notion of symmetric bi-generalized derivation of lattice implication algebra L and investigated some related properties. Also, we prove that a map $F:L{\times}L{\rightarrow}L$ is a symmetric bi-generalized derivation associated with symmetric bi-derivation D on L if and only if F is a symmetric map and it satisfies $F(x{\rightarrow}y,z)=x{\rightarrow}F(y,z)$ for all $x,y,z{\in}L$.
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참고문헌 (13)
참고문헌 신청
L. Bolc / 1994 / Many-Valued Logic / Springer
Yılmaz Ceven / 2008 / ON f-DERIVATIONS OF LATTICES / 대한수학회보 45(4):701~707
Alev Firat / 2010 / On f-derivations of BCC-algebras / Ars Combinatoria 97A:377~382
J. A. Goguen / 1969 / The logic of inexact concepts / Synthese 19:325~373
S. D. Lee / 2013 / On derivations of lattice implication algebras / Ars Combinatoria 108:279~288
Yılmaz Ceven / 2008 / ON f-DERIVATIONS OF LATTICES / 대한수학회보 45(4):701~707
Alev Firat / 2010 / On f-derivations of BCC-algebras / Ars Combinatoria 97A:377~382
J. A. Goguen / 1969 / The logic of inexact concepts / Synthese 19:325~373
S. D. Lee / 2013 / On derivations of lattice implication algebras / Ars Combinatoria 108:279~288
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