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

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Published: Dec 30, 2019
Keywords:
Lattice implication algebra, generalized f-derivation, isotone, Fix_d(L), Ker d.
Mathematics Subject Classification:
16Y30, 06B35, 06B99.

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KyungHo Kim
Department of Mathematics Korea National University of Transportation Chungju 27469, Korea

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 $x, y\in L.$


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