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On generalized derivations of lattice implication algebras
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In this paper, we introduce the notion of generalized derivation of lattice implication algebra and investigated some related properties. Also, we prove that if $D$ is a generalized derivation associated with a derivation $d$ of $L,$ then $D(x\to y)=x\to D(y)$ for all $x, y\in L$.
Abstract
In this paper, we introduce the notion of generalized derivation of lattice implication algebra and investigated some related properties. Also, we prove that if $D$ is a generalized derivation associated with a derivation $d$ of $L,$ then $D(x\to y)=x\to D(y)$ for all $x, y\in L$.
참고문헌 (5)
- S. D. Lee, "On derivations of lattice implication algebras", Ars Combinatoria, 108, pp.279~288 (2013)
- Y. Xu, "Lattice implication algebras", J. Southwest Jiaotong Univ, 1, pp.20~27 (1993)
- Y. Xu, "Lattice H implication algebras and lattice implication algebra classes", J. Hebei Mining and Civil Engineering Institute, 3, pp.139~143 (1992)
- Y. Xu, "On filters of lattice implication algebras", J. Fuzzy Math, 1(2), pp.251~260 (1993)
- Y. H. Yon, "On f-derivations of lattice implication algebras", Ars Combinatoria, 110, pp.205~215 (2013)
관련 논문AI추천
On generalized $f$-derivations of lattice implication algebras김경호강원경기수학회 · 한국수학논문집2019 · 제27권 제4호On (f, g)-derivations of lattice implication algebras김경호기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제1호On Symmetric Bi-$f$-derivations of Lattice Implication Algebras김경호영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호Derivations on subtraction algebrasMehmet Ali Öztürk, Yilmaz Ceven대한수학회 · 대한수학회논문집2009 · 제24권 제4호ON f-DERIVATIONS OF LATTICESMehmet Ali Ozturk, Yılmaz Ceven대한수학회 · 대한수학회보2008 · 제45권 제4호Regularity of generalized derivations in $BCI$-algebrasG. Muhiuddin대한수학회 · 대한수학회논문집2016 · 제31권 제2호
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