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(f, g)-derivation in residuated multilattices

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Abstract

The primary goal of this paper is to extend the notion of derivation studied in lattices, residuated lattices and residuated multilattices by introducing two-parameter derivations in residuated multilattices. After defining this notion, we illustrate it with several examples and study the properties of some related notions. Finally, we use the set of complemented elements and the set of fixed points to characterize those derivations.

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References

  • Alsatayhi S, Moussavi A (2017) \((\varphi , \psi )\)-derivations of BL-algebra, Asian-Eur J Math, 1–19

  • Asci M, Ceran S (2013), \((f,g)\)-derivations of lattices, Math Sci Appl, 56–62

  • Bell HE, Kappe LC (1989) Rings in which derivations satisfy certain algebraic condition. Acta Math 53:339–346

    MathSciNet  MATH  Google Scholar 

  • Cabrera IP, Cordero P, Gutierrez G, Martinez J , Ojeda-Aciego M (2014) On residuation in multilattices: filters, congruences, and homomorphisms, Fuzzy Sets Syst, 234

  • Ceven Y, Ozturk MA (2008) On f- derivation of lattices. Bull Korean Math Soc 45:701–707

    Article  MathSciNet  Google Scholar 

  • He P, Xinb X, Zhan J (2016) On derivations and their fixed point sets in residuated lattices. Fuzzy Sets Syst 303:97–113

    Article  MathSciNet  Google Scholar 

  • Jun YB, Xin XL (2004) On derivations of BCI-algebras. Inf Sci 159:176–176

    Article  MathSciNet  Google Scholar 

  • Keubeng DLY, Diekouam LE, Akume D, Lele C (2020) Some type of derivations in bounded commutative residuated lattice. J Algebr Hyperstruct Log Algebras 4:21–37

    Article  Google Scholar 

  • Maffeu LN, Lele C, Nganou JB, Temgoua EA (2019) Multiplicative and implicative derivations on residuated multilattices. Soft Comput 23:12199–12208

    Article  Google Scholar 

  • Maffeu LN, Lele C, Temgoua EA, Schmidt SE (2019) f-derivations on residuated multilattices. J Hyperstruct 8:81–93

    MATH  Google Scholar 

  • Maffeu Nzoda LN (2018)residuated multilattices and applications to Formal Concept Analysis, PhD dissertation, university of Dschang

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Dschang, Dschang, Cameroon

    Darline Laure Keubeng Yemene & Celestin Lele

  2. Department of Mathematics, HTTC Maroua University of Maroua, Maroua, Cameroon

    Luc Emery Diekouam Fotso

Authors
  1. Darline Laure Keubeng Yemene
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  2. Luc Emery Diekouam Fotso
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  3. Celestin Lele
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Correspondence to Luc Emery Diekouam Fotso.

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Yemene, D.L.K., Fotso, L.E.D. & Lele, C. (f, g)-derivation in residuated multilattices. Soft Comput 26, 8221–8228 (2022). https://doi.org/10.1007/s00500-022-07238-x

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  • DOI: https://doi.org/10.1007/s00500-022-07238-x

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