Abstract
In this article we present a new characterization of the class \({{\mathrm{HSP_U}}}(\mathcal {K})\) using a condition analogous to the finite embeddability property.
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References
Blok, W., van Alten, C.J.: On the finite embeddability property for residuated ordered groupoids. Trans. Am. Math. Soc. 357, 4141–4157 (2005)
Botur, M.: A non-associative generalization of Hájek’s BL-algebras. Fuzzy Sets Syst. 178, 24–37 (2011)
Botur, M., Paseka, J.: Another proof of the completeness of the Łukasiewicz axioms and of the extensions of Di Nola’s Theorem. Algebra Univ. 73(4), 277–290 (2015)
Burris, S., Sankappanavar, H.P.: A Course in Universal Algebra. Springer, New York (1981)
Evans, T.: Word problems. Bull Am Math Soc 84(5), 789–802 (1978)
Haniková, Z., Horčík, R.: Finite embeddability property for residuated groupoids. Algebra Univ. 72(1), 1–13 (2014)
Malcev, A.: Algebraic Systems. Springer, Berlin (1973)
Paseka, J.: Representations of zero-cancellative pomonoids. Math Slov 64(3), 777–788 (2014)
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This article is part of the topical collection “In memory of Bjarni Jónsson” edited by J.B. Nation.
The authors would like to thank for the support of the bilateral project “New perspectives on residuated posets” of the Austrian Science Fund (FWF): project I 1923-N25, and the Czech Science Foundation (GAČR): project 15-34697L and the project “Algebraic, many-valued and quantum structures for uncertainty modelling” of the Czech Science Foundation (GAČR), No. 15-15286S.
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Botur, M., Broušek, M. Finite coverability property. Algebra Univers. 79, 52 (2018). https://doi.org/10.1007/s00012-018-0523-y
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DOI: https://doi.org/10.1007/s00012-018-0523-y