Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

Abstract

In this study, we give basic definitions and notions about Sheffer stroke operation and Sheffer stroke basic algebra. After presenting Sheffer stroke basic algebra on a given interval, named interval Sheffer stroke basic algebra, we give some features of an interval Sheffer stroke basic algebra. Then we investigate solutions to the set-theoretical Yang-Baxter equation in this algebraic structure by using its features.

Keywords

• interval sheffer stroke basic algebra
• yang-baxter equation
• 06b05
• 03g25
• 16t25
• 03g10
• 05e40