Notes on the Variety of Ternary Algebras - Advances in Pure Mathematics

APM > Vol.4 No.9, September 2014

Advances in Pure Mathematics

Volume 4, Issue 9 (September 2014)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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Notes on the Variety of Ternary Algebras ()

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DOI: 10.4236/apm.2014.49057 2,804 Downloads 3,716 Views Citations

Author(s)

Aldo V. Figallo, Claudia M. Gomes, Lucía S. Sarmiento, Mario E. Videla

Affiliation(s)

Departamento de Matemática, Universidad Nacional de San Juan, San Juan, Argentina.
Instituto de Ciencias Básicas, Universidad Nacional de San Juan, San Juan, Argentina.

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.

KEYWORDS

De Morgan Algebra, Free Algebra, Congruence, Variety

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.

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