34
Views
0
CrossRef citations to date
0
Altmetric
Articles

Two notions of MV-algebraic semisimplicity relative to fixed MV-chains

, ORCID Icon &
Pages 187-199 | Received 22 Jun 2022, Accepted 25 Aug 2022, Published online: 16 Sep 2022

References

  • Belluce, P. L. (1986). Semisimple algebras of infinite valued logic and bold fuzzy set theory. Canadian Journal of Mathematics, 38(6), 1356–1379. https://doi.org/10.4153/CJM-1986-069-0
  • Belluce, P. L. (1992). Semisimple and complete MV-algebras. Algebra Universalis, 29(1), 1–9. https://doi.org/10.1007/BF01190751
  • Birkhoff, G. (1935). On the structure of abstract algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 31(4), 433–454. https://doi.org/10.1017/S0305004100013463
  • Cignoli, R., D'Ottaviano, I., & Mundici, D. (2000). Algebraic foundations of many-valued reasoning. Kluwer Academic.
  • Cignoli, R., & Mundici, D. (1998). An elementary presentation of the equivalence between MV-algebras and ℓ-groups with strong units. Studia Logica, 61(1), 49–64. https://doi.org/10.1023/A:1005078213630special issue on many-valued logics.
  • Di Nola, A., & Leuştean, L. (2011). Handbook of Mathematical fuzzy logic (Vol. 2), Studies in logic: 38. College Publications.
  • Luan, C., & Yang, Y. (2017). Filter topologies on MV-algebras. Soft Computing, 21(10), 2531–2535. https://doi.org/10.1007/s00500-017-2574-y
  • Mundici, D. (2011). Advanced Łukasiewicz calculus and MV-algebras, Trends log. stud. log. libr.: 35. Springer.
  • Nganou, J. B. (2017). Stone MV-algebras and strongly complete MV-algebras. Algebra Universalis, 77(2), 147–161. https://doi.org/10.1007/s00012-016-0421-0
  • Wu, S., Luan, W., & Yang, Y. (2020). Filter topologies on MV-algebras II. Soft Computing, 24(5), 3173–3177. https://doi.org/10.1007/s00500-020-04682-5

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.