Geodesic
On $q$-lattices and $q$-algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 29-35.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper the concepts of $q$-lattice and $q$-algebra introduced in [1] and [2] are studied. The relationship between lattices (Boolean algebras) and $q$-lattices ($q$-algebras) is stated, and the results of [2] are improved.
Keywords: $q$-lattices, on representation of $q$-algebras.
Mots-clés : $q$-algebras 
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A. M. Gevorgyan. On $q$-lattices and $q$-algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 29-35. http://geodesic.mathdoc.fr/item/UZERU_2009_1_a5/

[1] I. Chajda, “Lattices in quasiordered sets”, Acta UPO, 105:32 (1992), 6–12 | MR | Zbl

[2] I. Chajda, “A representation of the algebra of quasiordered logic by binary functions”, Demonstratio Matematica, 27:3–4 (1994), 601–607 | MR | Zbl

[3] Russian Math. Surveys, 53:1 (1998), 57–108 | DOI | DOI | MR | Zbl