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.

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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

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article

Sheffer stroke operation on L-algebras via an algorithmic approach

Tahsin Öner, Arif Gürsoy, Necla Kırcalı Gürsoy, Alper Ülker
Soft Computing
Advanced Algebra and Logic
article

Sheffer stroke operation on L-algebras via an algorithmic approach

Tahsin Öner, Arif Gürsoy, Necla Kırcalı Gürsoy, Alper Ülker
article en

Abstract

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.

Soft Computing
Izmir University (TR), İzmir University of Economics (TR), Istanbul Kültür University (TR), Ege University (TR)
Ege Üniversitesi
Openalex Percentile: Top 84%
Advanced Algebra and Logic
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Sheffer stroke operation on L-algebras via an algorithmic approach — Tahsin Öner, Arif Gürsoy, et al. · Soft Computing (2024) | TGRS Research Map | TGRS