Far Eastern Mathematical Journal

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Congruence lattice of S-acts

Ptahov D. O., Stepanova A. A.

2013, issue 1, P. 107-115

Abstract

In this work we give the necessary and sufficient conditions for modularity and distributivity of the congruence lattice of disconnected S-acts.

Keywords: lattice, modular lattice, distributive lattice, congruence lattice of algebra, S-act

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References

[1] D. P. Egorova, L. A. Skorniakov, “O strukture kongruentsii unarnoi algebry”, Uporiadochennye mnozhestva i reshetki, Mezhvuzovskii nauchnyi sbornik, 1977, 28–40. [2] D. P. Egorova, “Struktura kongruentsii unarnoi algebry”, Uporiadochennye mnozhestva i reshetki, Mezhvuzovskii nauchnyi sbornik, 1978, 11–44. [3] D. O. Ptakhov, “Reshetki slabykh kongruentsii unarnykh algebr”, Sintaksis i semantik logicheskikh sistem, 2010, 83–85. [4] L. A. Skorniakov, Elementy obshchei algebry, Nauka, M., 1983. [5] M. Kilp, U. Knauer, A. V. Mikhalev, Acts and Categories, Walter de Gruyet, Berlin, 2000.

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