Abstract.
In this paper we study and equationally characterize the subvarieties of BL, the variety of BL-algebras, which are generated by families of single-component BL-chains, i.e. MV-chains, Product-chain or Gödel-chains. Moreover, it is proved that they form a segment of the lattice of subvarieties of BL which is bounded by the Boolean variety and the variety generated by all single-component chains, called ŁΠG.
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Received: 8 January 2001 / Published online: 12 July 2002
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Di Nola, A., Esteva, F., Garcia, P. et al. Subvarieties of BL-algebras generated by single-component chains. Arch. Math. Logic 41, 673–685 (2002). https://doi.org/10.1007/s001530100114
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DOI: https://doi.org/10.1007/s001530100114