Notes on the Variety of Ternary Algebras

Abstract

In this work we review the class T of ternary algebras introduced by J. A. Brzozowski and C. J. Serger in [1]. We determine properties of the congruence lattice of a ternary algebra A. The most important result refers to the construction of the free ternary algebra on a poset. In particular, we describe the poset of the join irreducible elements of the free ternary algebra with two free generators.

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Figallo, A. , Gomes, C. , Sarmiento, L. and Videla, M. (2014) Notes on the Variety of Ternary Algebras. Advances in Pure Mathematics, 4, 506-512. doi: 10.4236/apm.2014.49057.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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