Notes on the Variety of Ternary Algebras

• 作者: Aldo V. Figallo Claudia M. Gomes Lucía S. Sarmiento Mario E. Videla
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: De MORGAN ALGEBRA Free ALGEBRA CONGRUENCE VARIETY
• 年，卷（期）: 2014,（9）
• 页码范围: 506-512
• 页数: 7页
• 分类号: O1

摘要

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.