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dc.contributor.authorPrzybyło, Sławomir
dc.contributor.authorSłomczyńska, Katarzyna
dc.date.accessioned2024-09-30T13:40:20Z
dc.date.available2024-09-30T13:40:20Z
dc.date.issued2024-05-20
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/53274
dc.description.abstractWe construct free algebras in the variety generated by the equivalential algebra with conjunction on dense elements and compute the formula for the free spectrum of this variety. Moreover, we describe the decomposition of free algebras into directly indecomposable factors.en
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesBulletin of the Section of Logic;3en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectFregean varietiesen
dc.subjectequivalential algebrasen
dc.subjectdense elementsen
dc.subjectfree algebraen
dc.subjectfree spectraen
dc.titleFree Spectra of Equivalential Algebras with Conjunction on Dense Elementsen
dc.typeArticle
dc.page.number399-418
dc.contributor.authorAffiliationPrzybyło, Sławomir - University of the National Education Commission, Institute of Mathematicsen
dc.contributor.authorAffiliationSłomczyńska, Katarzyna - University of the National Education Commission, Institute of Mathematicsen
dc.identifier.eissn2449-836X
dc.referencesP. M. Idziak, K. Słomczyńska, Polynomially rich algebras, Journal of Pure and Applied Algebra, vol. 156(1) (2001), pp. 33–68, DOI: https://doi.org/10.1016/S0022-4049(99)00119-Xen
dc.referencesJ. K. Kabziński, A. Wroński, On equivalential algebras, [in:] Proceedings of the 1975 International Symposium on Multipe-Valuedłogic, Indiana University, Bloomington, Indiana, IEEE Comput. Soc.,łong Beach (1975), pp. 419–428.en
dc.referencesP. Köhler, Brouwerian semilattices, Transactions of the American Mathematical Society, vol. 268(1) (1981), pp. 103–126, DOI: https://doi.org/10.1090/S0002-9947-1981-0628448-3en
dc.referencesS. Przybyło, Equivalential algebras with conjunction on the regular elements, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, vol. 20 (2021), pp. 63–75, DOI: https://doi.org/10.2478/aupcsm-2021-0005en
dc.referencesS. Przybyło, K. Słomczyńska, Equivalential algebras with conjunction on the regular elements, Bulletin of the Section of Logic, vol. 51(4) (2022), pp. 535–554, DOI: https://doi.org/doi.org/10.18778/0138-0680.2022.22en
dc.referencesK. Słomczyńska, Free spectra of linear equivalential algebras, The Journal of Symbolic Logic, vol. 70(4) (2005), pp. 1341–1358, DOI: https://doi.org/10.2178/jsl/1129642128en
dc.referencesK. Słomczyńska, Free equivalential algebras, Annals of Pure and Applied Logic, vol. 155(2) (2008), pp. 86–96, DOI: https://doi.org/10.1016/j.apal.2008.03.003en
dc.referencesK. Słomczyńska, The structure of completely meet irreducible congruences in strongly Fregean algebras, Algebra universalis, vol. 83(31) (2022), DOI: https://doi.org/10.1007/s00012-022-00787-0en
dc.referencesA. Wroński, On the free equivalential algebra with three generators, Bulletin of the Section of logic, vol. 22 (1993), pp. 37–39.en
dc.contributor.authorEmailPrzybyło, Sławomir - slawomir.przybylo@up.krakow.pl
dc.contributor.authorEmailSłomczyńska, Katarzyna - kslomcz@up.krakow.pl
dc.identifier.doi10.18778/0138-0680.2024.08
dc.relation.volume53


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