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ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Year 2017, Volume: 30 Issue: 1, 431 - 441, 14.03.2017

Şule Özbal , Öncül Altındağ Yong Ho Yon

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.

Keywords

lattice implication algebras derivation self-distributive lter normal lter KerD FixD

References

  • 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.
  • 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.
  • 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.
  • 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,
  • K. Y. Qin and Y. Xu, On Filters of Lattice Implication Algebras, J. Fuzzy Math.
  • , no.2, 251-260, 1993.
  • J. Vukman, Symmetric bi-derivations on prime and semi-prime rings, Aequationes
  • Mathematicae,vol.38, no.2-3, pp. 245-254, 1989.
  • Y. Xu, Lattice Implication Algebras, J. Southwest Jiaotong Univ. 1, 20-27, 1993.

Year 2017, Volume: 30 Issue: 1, 431 - 441, 14.03.2017

Şule Özbal , Öncül Altındağ Yong Ho Yon

Abstract

References

  • 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.
  • 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.
  • 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.
  • 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,
  • K. Y. Qin and Y. Xu, On Filters of Lattice Implication Algebras, J. Fuzzy Math.
  • , no.2, 251-260, 1993.
  • J. Vukman, Symmetric bi-derivations on prime and semi-prime rings, Aequationes
  • Mathematicae,vol.38, no.2-3, pp. 245-254, 1989.
  • Y. Xu, Lattice Implication Algebras, J. Southwest Jiaotong Univ. 1, 20-27, 1993.
There are 22 citations in total.

Details

Journal Section Mathematics
Authors

Şule Özbal

Öncül Altındağ This is me

Yong Ho Yon

Publication Date March 14, 2017
Published in Issue Year 2017 Volume: 30 Issue: 1

Cite

APA Özbal, Ş., Altındağ, Ö., & Ho Yon, Y. (2017). ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science, 30(1), 431-441.
AMA Özbal Ş, Altındağ Ö, Ho Yon Y. ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science. March 2017;30(1):431-441.
Chicago Özbal, Şule, Öncül Altındağ, and Yong Ho Yon. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science 30, no. 1 (March 2017): 431-41.
EndNote Özbal Ş, Altındağ Ö, Ho Yon Y (March 1, 2017) ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science 30 1 431–441.
IEEE Ş. Özbal, Ö. Altındağ, and Y. Ho Yon, “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”, Gazi University Journal of Science, vol. 30, no. 1, pp. 431–441, 2017.
ISNAD Özbal, Şule et al. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science 30/1 (March 2017), 431-441.
JAMA Özbal Ş, Altındağ Ö, Ho Yon Y. ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science. 2017;30:431–441.
MLA Özbal, Şule et al. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science, vol. 30, no. 1, 2017, pp. 431-4.
Vancouver Özbal Ş, Altındağ Ö, Ho Yon Y. ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science. 2017;30(1):431-4.