<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

Department of Mathematics, Science Faculty

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

Published Online: Dec 31, 2020

Page range: 347 - 358

Received: Jun 13, 2019

Accepted: Sep 03, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00065

Keywords
interval Sheffer stroke basic algebra, Yang-Baxter equation

© 2020 Tahsin Oner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

j.amns.2020.2.00065.tab.001

$\|_{m}^{n}$ \|_m^n	m	p	r	n

m	n	n	n	n
p	n	r	n	r
r	n	n	p	p
n	n	r	p	m

Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation

Published Online: Dec 31, 2020

Page range: 347 - 358

Received: Jun 13, 2019

Accepted: Sep 03, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00065

Keywordsinterval Sheffer stroke basic algebra, Yang-Baxter equation

© 2020 Tahsin Oner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

j.amns.2020.2.00065.tab.001

Keywords
interval Sheffer stroke basic algebra, Yang-Baxter equation