Ternary algebraic structures and their applications in physics

By R. Kerner. 2000

146 citations recorded by the source corpus.

We discuss certain ternary algebraic structures appearing more or less naturally in various domains of theoretical and mathematical physics. Far from being exhaustive, this article is intended above all to draw attention to these algebras, which may find more interesting applications in the years to come.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b73a8984783765159b19db56c470910930d3365d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Bijan Davvaz
2. V. Leoreanu
3. Thomas Vougiouklis

In Geometry and Topology

1. Bijan Davvaz
2. V. Leoreanu

In Statistical and Nonlinear Physics

1. Bijan Davvaz
2. V. Leoreanu

Citations in the corpus

• A Generalization of n-Ary Algebraic Systems (2009, background): “Different applications of ternary structures in physics are described in Kerner (2000).”
• Binary Relations on Ternary Semihypergroups (2010, background): “Different applications of ternary structures in physics are described by Kerner in [17].”