Sheffer stroke operation on L-algebras via an algorithmic approach
Abstract In this study, we introduce the Sheffer stroke L-algebra and prove some fundamental theorems, propositions and lemmas of Sheffer Stroke L-algebras. The notions of filter and ultrafilter for Sheffer stroke L-algebra are studied. We give subalgebra and normal subset definitions of a Sheffer stroke L-algebras. Moreover, a homomorphism between Sheffer stroke L-algebras is introduced and isomorphism theorems are presented. Finally, we give three new algorithms for Sheffer stroke L-algebras. Thus, it is contributed to researchers on different application areas by presenting an algorithmic approach on this subject, for the first time in the literature.
Authors
- Tahsin Öner (ORCID: https://orcid.org/0000-0002-6514-4027)
- Arif Gürsoy (ORCID: https://orcid.org/0000-0002-0747-9806)
- Necla Kırcalı Gürsoy (ORCID: https://orcid.org/0000-0002-1732-9676)
- Alper Ülker (ORCID: https://orcid.org/0000-0001-5592-7450)
Institutions
- Izmir University (TR)
- İzmir University of Economics (TR)
- Istanbul Kültür University (TR)
- Ege University (TR)
Publication Details
- Journal
- Soft Computing
- Published
- 2024-08-19
- DOI
- https://doi.org/10.1007/s00500-024-09906-6
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ege Üniversitesi