ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS
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.
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,
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.