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On generalized $f$-derivations of lattice implication algebras

김경호
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.12|한국수학논문집 (Korean Journal of Mathematics)|제27권 제4호|pp. 1119-1131

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참고문헌

키워드

Lattice implication algebraisotone$Fix_D(L)generalized $f$-derivation$ $Ker D.$
주제분류수학

초록

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 $x, y\in L.$

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 $x, y\in L.$

참고문헌 (14)

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  7. J. Liu, "On the property(P)of lattice implicationalgebras", J. Lanzhou Univ, 32, pp.344~348 (1996)
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  9. C. Prabpayak, "On derivations of BCC-algebras", Kasetsart J, 43, pp.398~401 (2009)
  10. Z. M. Song, "Study on the theoretical foundation of uncertainty information pro-cessing based on lattice implication algebras and method of uncertainty reasoning", Ph. D., pp.1998
  11. Y. Xu, "Lattice implication algebras", J. Southwest Jiaotong Univ, 1, pp.20~27 (1993)
  12. Y. Xu, "Lattice H implication algebras and lattice implicationalge-bra classes", J. Hebei Mining and Civil Engineering Institute, 3, pp.139~143 (1992)
  13. Y. Xu, "On lters of lattice implicationalgebras", J. Fuzzy Math, 1(2), pp.251~260 (1993)
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관련 논문AI추천

On generalized derivations of lattice implication algebras김경호기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제2호On (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 제1호ON f-DERIVATIONS OF LATTICESMehmet Ali Ozturk, Yılmaz Ceven대한수학회 · 대한수학회보2008 · 제45권 제4호Derivations on subtraction algebrasMehmet Ali Öztürk, Yilmaz Ceven대한수학회 · 대한수학회논문집2009 · 제24권 제4호A note on f-derivations of BCI-algebrasMalik Anjum Javed, Muhammad Aslam대한수학회 · 대한수학회논문집2009 · 제24권 제3호

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