Korean J. Math.  Vol 27, No 4 (2019)  pp.1119-1131
DOI: https://doi.org/10.11568/kjm.2019.27.4.1119

On generalized $f$-derivations of lattice implication algebras

KyungHo Kim

Abstract


In this paper, we introduce the notion of generalized $f$-derivation  of lattice implication algebra and investigate some related properties. Also, we prove that  if $D$ is a generalized $f$-derivation  associated with an $f$-derivation $d$ of $L,$ then $D(x\to y)=f(x)\to D(y)$ for all $x,  y\in L.$

Keywords


Lattice implication algebra, generalized f-derivation, isotone, Fix_d(L), Ker d.

Subject classification

16Y30, 06B35, 06B99.

Sponsor(s)



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