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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Format: | Article |
Language: | English |
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Sciendo
2020-12-01
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Series: | Applied Mathematics and Nonlinear Sciences |
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Online Access: | https://doi.org/10.2478/amns.2020.2.00065 |
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author | Oner Tahsin Katican Tugce |
author_facet | Oner Tahsin Katican Tugce |
author_sort | Oner Tahsin |
collection | DOAJ |
description | 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. |
first_indexed | 2024-04-12T22:37:29Z |
format | Article |
id | doaj.art-9328de290a3b458483c9afa72addfc47 |
institution | Directory Open Access Journal |
issn | 2444-8656 |
language | English |
last_indexed | 2024-04-12T22:37:29Z |
publishDate | 2020-12-01 |
publisher | Sciendo |
record_format | Article |
series | Applied Mathematics and Nonlinear Sciences |
spelling | doaj.art-9328de290a3b458483c9afa72addfc472022-12-22T03:13:50ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-12-016134735810.2478/amns.2020.2.00065Interval Sheffer Stroke Basic Algebras and Yang-Baxter EquationOner Tahsin0Katican Tugce1Department of Mathematics, Science Faculty, Ege University, 35100Bornova, Izmir-TurkeyDepartment of Mathematics, Science Faculty, Ege University, 35100Bornova, Izmir-TurkeyIn 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.https://doi.org/10.2478/amns.2020.2.00065interval sheffer stroke basic algebrayang-baxter equation06b0503g2516t2503g1005e40 |
spellingShingle | Oner Tahsin Katican Tugce Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation Applied Mathematics and Nonlinear Sciences interval sheffer stroke basic algebra yang-baxter equation 06b05 03g25 16t25 03g10 05e40 |
title | Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation |
title_full | Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation |
title_fullStr | Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation |
title_full_unstemmed | Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation |
title_short | Interval Sheffer Stroke Basic Algebras and Yang-Baxter Equation |
title_sort | interval sheffer stroke basic algebras and yang baxter equation |
topic | interval sheffer stroke basic algebra yang-baxter equation 06b05 03g25 16t25 03g10 05e40 |
url | https://doi.org/10.2478/amns.2020.2.00065 |
work_keys_str_mv | AT onertahsin intervalshefferstrokebasicalgebrasandyangbaxterequation AT katicantugce intervalshefferstrokebasicalgebrasandyangbaxterequation |