Notes on the Variety of Ternary Algebras ()
Aldo V. Figallo,
Claudia M. Gomes,
Lucía S. Sarmiento,
Mario E. Videla
Departamento de Matemática, Universidad Nacional de San Juan, San Juan, Argentina.
Instituto de Ciencias Básicas, Universidad Nacional de San Juan, San Juan, Argentina.
DOI: 10.4236/apm.2014.49057
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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.
Share and Cite:
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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