SavedAdd your journal

Journals / Gazi University Journal of Science / 2017 / Cilt: 30 - Sayı: 1

ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Şule Özbal
Öncül Altındağ
Yong Ho Yon
Pages
431–441
Publication Date
2017-03-14
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Additionally, we proved that if D is asymmetric bi-derivation of a lattice implication algebra, every lterF is D-invariant.

📌 3 Key Takeaways

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

Abstract

In this paper, we introduced the notion of symmetric biderivationson lattice implication algebra and investigated some relatedproperties. Also, we characterized the FixD(L), and KerD(L)by symmetric bi-derivations. Additionally, we proved that if D is asymmetric bi-derivation of a lattice implication algebra, every lterF is D-invariant.

🔖

Cite This Article

Özbal, Ş., Altındağ, Ö., Yon, Y. H. (2017). ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science, Cilt: 30 - Sayı: 1, 431–441. https://ajindex.com/articles/254794

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  1. S. Ayar Ozbal, and A. Frat,On Symmetric Bi-Derivations of Incline Algebras, International Mathematical Forum, 6(41), 2031-2036. (Yayn No: 229357). B. Bekele and V. Kolluru Implicative Algebras, Momona Ethiopian Journal of Science, Vol 4, No 1, 2012.
  2. Y. C even, Symmetric bi-derivations of Lattices, Quaestiones Mathematicae, 32:2, -245, 2009. K. H. Kim, and Y. H. Yon, On f-Derivations of Lattice Implication Algebras, Ars Combinatoria, Volume CX, p.205-215, July 2013. S. D. Lee and K. H. Kim, "On Derivations of Lattice Implication Algebras", Ars Combinatoria, Volume CVIII, pp. 279-288, January 2013. T. Y. Li,J. H. Lu and X. L. Xin, On Derivations of Lattices, Information Sciences, 307-316, 2008.
  3. G. Muhiuddin, Abdullah M. Al-roqi, Y. B. Yun and Y. Ceven, On Symmetric Left Bi-derivations on BCI-Algebras, International Journal of Mathematics and Mathematical Sciences,Volume 2013, Article ID 238490,6 pages, 2013.
  4. K. Y. Qin and Y. Xu, Lattice H-implication Algebras and Lattice Implication Algebra Classes, J. Hebei Mining and Civil Engineering Institute, 3, 139-143,
  5. K. Y. Qin and Y. Xu, On Filters of Lattice Implication Algebras, J. Fuzzy Math., no.2, 251-260, 1993.
  6. J. Vukman, Symmetric bi-derivations on prime and semi-prime rings, Aequationes Mathematicae,vol.38, no.2-3, pp. 245-254, 1989.
  7. Y. Xu, Lattice Implication Algebras, J. Southwest Jiaotong Univ. 1, 20-27, 1993.