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Journals / Gazi University Journal of Science / 2026 / Volume: 30 Issue: 1

ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Şule Özbal
Öncül Altındağ
Yong Ho Yon
Pages
—
Publication Date
2017-03-14
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Additionally, we proved that if D is a symmetric bi-derivation of a lattice implication algebra, every lter F is D-invariant.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduced the notion of symmetric biderivations on lattice implication algebra and investigated some related properties.
📊
Key Findings & Data:Also, we characterized the FixD(L), and KerD(L) by symmetric bi-derivations.
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Conclusion & Impact:Additionally, we proved that if D is a symmetric bi-derivation of a lattice implication algebra, every lter F is D-invariant.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:lattice implication algebras · derivation · self-distributive

Abstract

In this paper, we introduced the notion of symmetric biderivations on lattice implication algebra and investigated some related properties. Also, we characterized the FixD(L), and KerD(L) by symmetric bi-derivations. Additionally, we proved that if D is a symmetric bi-derivation of a lattice implication algebra, every lter F is D-invariant.

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Cite This Article

Özbal, Ş., Altındağ, Ö., Yon, Y. H. (2017). ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science, Volume: 30 Issue: 1. https://ajindex.com/articles/1269438

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