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Quasivarieties of cancellative commutative binary modes

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The paper describes the isomorphic lattices of quasivarieties of commutative quasigroup modes and of cancellative commutative binary modes. Each quasivariety is characterised by providing a quasi-equational basis. A structural description is also given. Both lattices are uncountable and distributive.

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Special issue of Studia Logica: “Algebraic Theory of Quasivarieties” Presented by M. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko

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Matczak, K., Romanowska, A. Quasivarieties of cancellative commutative binary modes. Stud Logica 78, 321–335 (2004). https://doi.org/10.1007/s11225-005-1335-6

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  • DOI: https://doi.org/10.1007/s11225-005-1335-6

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