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03-XX Mathematical logic and foundations
03Gxx Algebraic logic
03G20 Łukasiewicz and Post algebras

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Closure Łukasiewicz algebras

Abad Manuel, Cimadamore Cecilia, Díaz Varela José, Rueda Laura, Suardíaz Ana (2005)

Open Mathematics

In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements form a three-valued Heyting algebra is obtained.

Complete generators and maximal completions of $M V$ -algebras

Ján Jakubík (1998)

Czechoslovak Mathematical Journal

Connections between ideals of non-commutative generalizations of $M V$ -algebras and ideals of their underlying lattices

Jiří Rachůnek (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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