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

ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Sayfa
—
Yayın Tarihi
2017-03-14
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduced the notion of symmetric biderivations on lattice implication algebra and investigated some related properties.
📊
Temel Bulgular & Veri:Also, we characterized the FixD(L), and KerD(L) by symmetric bi-derivations.
💡
Sonuç & Katkı:Additionally, we proved that if D is a symmetric bi-derivation of a lattice implication algebra, every lter F is D-invariant.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (25)

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