BibTex RIS Kaynak Göster

ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Yıl 2017, Cilt: 30 Sayı: 1, 431 - 441, 14.03.2017

Öz

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.

Kaynakça

  • 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.
Yıl 2017, Cilt: 30 Sayı: 1, 431 - 441, 14.03.2017

Öz

Kaynakça

  • 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.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

Şule Özbal

Öncül Altındağ Bu kişi benim

Yong Ho Yon

Yayımlanma Tarihi 14 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 30 Sayı: 1

Kaynak Göster

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. Mart 2017;30(1):431-441.
Chicago Özbal, Şule, Öncül Altındağ, ve Yong Ho Yon. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science 30, sy. 1 (Mart 2017): 431-41.
EndNote Özbal Ş, Altındağ Ö, Ho Yon Y (01 Mart 2017) ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS. Gazi University Journal of Science 30 1 431–441.
IEEE Ş. Özbal, Ö. Altındağ, ve Y. Ho Yon, “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”, Gazi University Journal of Science, c. 30, sy. 1, ss. 431–441, 2017.
ISNAD Özbal, Şule vd. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science 30/1 (Mart 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 vd. “ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS”. Gazi University Journal of Science, c. 30, sy. 1, 2017, ss. 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.