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The extension of L-algebras and states

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Publication:6061526
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DOI10.1016/j.fss.2022.10.017zbMath1522.03348OpenAlexW4308489946MaRDI QIDQ6061526

Xiao Long Xin, Ling Ling Mao, Shunli Zhang

Publication date: 31 October 2023

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2022.10.017


zbMATH Keywords

atomBosbach stateRiečan stateL-algebraEL-algebra


Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Other algebras related to logic (03G25) MV-algebras (06D35)




Cites Work

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  • The structure group of an \(L\)-algebra is torsion-free
  • Bosbach states on fuzzy structures
  • \(L\)-algebras, self-similarity, and \(l\)-groups
  • The structure group of a generalized orthomodular lattice
  • Generalized state operators on residuated lattices
  • Averaging the truth-value in Łukasiewicz logic
  • Results in L-algebras
  • On the existence of states on MTL-algebras
  • States on EMV-algebras
  • On EMV-algebras
  • States on EQ-algebras
  • State hoops
  • SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION
  • On EMV-Semirings
  • The existence of states on EQ-algebras
  • Generalized states on EQ-algebras


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