Sheffer stroke operation on L-algebras via an algorithmic approach

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-a...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2024-10, Vol.28 (19), p.10801-10813
Main Authors: Gürsoy, Necla Kırcalı, Öner, Tahsin, Gürsoy, Arif, Ülker, Alper
Format: Article
Language:English
Subjects:
Algebra
Algebraic
Algorithms
Analytical Methods in Soft Computing
Artificial Intelligence
Boolean
Computational Intelligence
Control
Engineering
Foundation
Homomorphisms
Isomorphism
Logic
Mathematical Logic and Foundations
Mechatronics
Robotics
Set theory
Theorems
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Summary: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.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-024-09906-6