Title
On The Colored And The Set-Theoretical Yang-Baxter Equations
Abstract
This paper is related to several articles published in AXIOMS, SCI, etc. The main concepts of the current paper are the colored Yang-Baxter equation and the set-theoretical Yang-Baxter equation. The Euler formula, colagebra structures, and means play an important role in our study. We show that some new solutions for a certain system of equations lead to colored Yang-Baxter operators, which are related to an Euler formula for matrices, and the set-theoretical solutions to the Yang-Baxter equation are related to means. A new coalgebra is obtained and studied.
Year
DOI
Venue
2021
10.3390/axioms10030146
AXIOMS
Keywords
DocType
Volume
(colored) Yang-Baxter equation, set-theoretical Yang-Baxter equation, Euler's formula, classical means inequalities, coalgebra structures, artificial intelligence (AI), computational methods
Journal
10
Issue
Citations 
PageRank 
3
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Barna Laszlo Iantovics1198.47
Florin Felix Nichita200.34