Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 2


Published
on

December 31, 2020


Pages

347-358


DOI

Article

Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

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Authors

Tahsin Oner Affiliation:
Department of Mathematics, Science Faculty, Ege University, 35100 Bornova, Izmir-Turkey
and Tugce Katican Affiliation:
Department of Mathematics, Science Faculty, Ege University, 35100 Bornova, Izmir-Turkey


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


Citation

Oner, T. & Katican, T. (2020). Interval sheffer stroke basic algebras and yang-baxter equation. Applied Mathematics and Nonlinear Sciences, 5(2), 347–358. https://doi.org/10.2478/amns.2020.2.00065

Published by: Engineering Journals

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