Abstract
In this paper we investigate the finite model property (FMP) for varieties of BL-algebras. In particular, we provide a full classification of the FMP for those varieties of BL-algebras which are generated by a finite class of chains with finitely-many components.
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Notes
- 1.
Note that every non-trivial totally ordered cancellative hoop \(\mathcal {A}\) does not have rank, since \(\mathcal {A}/Rad(\mathcal {A})\) is an infinite cancellative hoop.
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Aguzzoli, S., Bianchi, M. (2022). Finite Model Property and Varieties of BL-Algebras. In: Harmati, I.Á., Kóczy, L.T., Medina, J., Ramírez-Poussa, E. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems 3. Studies in Computational Intelligence, vol 959. Springer, Cham. https://doi.org/10.1007/978-3-030-74970-5_4
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DOI: https://doi.org/10.1007/978-3-030-74970-5_4
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