A Note on 3×3-valued Łukasiewicz Algebras with Negation

Carlos Gallardo; Alicia Ziliani

Bulletin of the Section of Logic (2021)

  • Volume: 50, Issue: 3, page 289-298
  • ISSN: 0138-0680

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Carlos Gallardo, and Alicia Ziliani. "A Note on 3×3-valued Łukasiewicz Algebras with Negation." Bulletin of the Section of Logic 50.3 (2021): 289-298. <http://eudml.org/doc/298955>.

@article{CarlosGallardo2021,
author = {Carlos Gallardo, Alicia Ziliani},
journal = {Bulletin of the Section of Logic},
keywords = {$n$-valued Łukasiewicz-Moisil algebras; $n \times m$-valued Łukasiewicz algebras with negation; free algebras; lattice of subvarieties},
number = {3},
pages = {289-298},
title = {A Note on 3×3-valued Łukasiewicz Algebras with Negation},
url = {http://eudml.org/doc/298955},
volume = {50},
year = {2021},
}

TY - JOUR
AU - Carlos Gallardo
AU - Alicia Ziliani
TI - A Note on 3×3-valued Łukasiewicz Algebras with Negation
JO - Bulletin of the Section of Logic
PY - 2021
VL - 50
IS - 3
SP - 289
EP - 298
KW - $n$-valued Łukasiewicz-Moisil algebras; $n \times m$-valued Łukasiewicz algebras with negation; free algebras; lattice of subvarieties
UR - http://eudml.org/doc/298955
ER -

References

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  3. [3] S. Burris, H. P. Sankappanavar, A Course in Universal Algebra, vol. 78 of Graduate Texts in Mathematics, Springer-Verlag, New York-Berlin (1981). 
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  8. [8] C. Gallardo, C. Sanza, A. Ziliani, F–multipliers and the localization of LMn×m–algebras, Analele Stiintifice ale Universitatii Ovidius Constanta, vol. 21 (2013), pp. 285–304, DOI: https://doi.org/10.2478/auom-2013-0019 
  9. [9] B. Jonnson, Algebras whose congruence lattices are distributive, Mathematica Scandinavica, vol. 21 (1967), pp. 110–121, DOI: https://doi.org/10.7146/math.scand.a-10850 
  10. [10] G. Moisil, Notes sur les logiques non-chrysippiennes, Annales Scientifiques de l’Université de Jassy, vol. 27 (1941), pp. 86–98. 
  11. [11] G. Moisil, Le algebre di Łukasiewicz, Analele Universitii Bucureti, seria Acta logica, vol. 6 (1963), pp. 97–135. 
  12. [12] C. Sanza, Algebras de Łukasiewicz n×m-valuadas con negación, Ph.D. thesis, Universidad Nacional del Sur, Argentina (2004). 
  13. [13] C. Sanza, Notes on n×m–valued Łukasiewicz algebras with negation, Logic Journal of the IGPL, vol. 12 (2004), pp. 499–507, DOI: https://doi.org/10.1093/jigpal/12.6.499 
  14. [14] C. Sanza, n×m–valued Łukasiewicz algebras with negation, Reports on Mathematical Logic, vol. 40 (2006), pp. 83–106. 
  15. [15] C. Sanza, On n×m–valued Łukasiewicz-Moisil algebras, Central European Journal of Mathematics, vol. 6 (2008), pp. 372–383, DOI: https://doi.org/10.2478/s11533-008-0035-7 
  16. [16] W. Suchoń, Matrix Łukasiewicz algebras, Reports on Mathematical Logic, vol. 4 (1975), pp. 91–104. 

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