Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

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. The...

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences 2021-01, Vol.6 (1), p.347-358
Main Authors: Oner, Tahsin, Katican, Tugce
Format: Article
Language:English
Subjects:
03G10
03G25
05E40
06B05
16T25
interval Sheffer stroke basic algebra
Yang-Baxter equation
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Description
Summary: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.
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00065