TITLE:
Notes on the Variety of Ternary Algebras
AUTHORS:
Aldo V. Figallo, Claudia M. Gomes, Lucía S. Sarmiento, Mario E. Videla
KEYWORDS:
De Morgan Algebra, Free Algebra, Congruence, Variety
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.9,
September
4,
2014
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.