Permuting Tri-f-derivations on Almost Distributive Lattices
Abstract
In this paper, we introduce the concept of permuting tri-f-derivationin an Almost Distributive Lattice (ADL) and derive some important properties of permuting tri-f-derivation in ADLs.
References
[1] N. O. Alshehri. Generalized Derivations of Lattices, Int. J. Contemp. Math. Sciences, 5(13)(2010), 629-640.
[2] Y. Ceven and M. A. Ozturk. On f-derivations of lattices, Bull. Korean Math. Soc., 45(4)(2008), 701-707.
[3] Y. Ceven. Symmetric Bi-derivations of lattices, Quaestiones Mathematicae, 32(2)(2009), 241-245.
[4] K. H. Kim. Symmetric Bi-f-derivations in lattices, Int. J. Math. Archive, 3(10)(2012), 3676-3683.
[5] M. Asci and S. Ceran, Generalized (f; g)-Derivations of Lattices, Math. Sci. Appl., E-notes, 1(2)(2013), 56-62.
[6] M. A. Ozturk, H. Yazarli and K. H. Kim. Permuting Tri-derivations in lattices, Quaestiones Mathematcae, 32(3)(2009), 415-425.
[7] G. C. Rao. Almost Distributive Lattices. Doctoral Thesis, Dept. of Mathematics, Andhra University, Visakhapatnam, (1980).
[8] G. C. Rao and K. Ravi Babu. The theory of Derivations in Almost Distributive Lattices, Bull. Inter. Math. Virtual Inst., 7(2)(2017), 203-216.
[9] G. C. Rao and K. Ravi Babu. f-derivations in Almost Distributive Lattices, Int. J. Math. Archive, 7(5)(2016), 134-140.
[10] G. C. Rao and K. Ravi Babu. Symmetric bi-derivations in Almost Distributive Lattices, Discussiones Mathematicae - Genaral Algebra and Applications, 36(2)(2016), 169-177.
[11] G. C. Rao and K. Ravi Babu. Symmetric bi-f-derivations in Almost Distributive Lattices, Int. J. Math. Archive, 7(7)(2016), 14-20.
[12] G. C. Rao and K. Ravi Babu. Permuting tri-derivations in Almost Distributive Lattices, Accepted for publication in the journal Southeast Asian Bulletin of Mathematics.
[13] U. M. Swamy and G. C. Rao. Almost Distributive Lattices, J. Aust. Math. Soc. (Series A), 31(1981), 77-91.
[14] G. Szasz. Derivations of lattices, Acta Sci. Math.(Szeged), 37(1975), 149-154.
[15] X. L. Xin, T. Y. Li and J. H. Lu. On derivations of lattices, Information Science, 178(2)(2008), 307-316.
[16] X. L. Xin, The fixed set of derivations in lattices, Fixed Point Theory Appl (2012) 2012: 218. doi:10.1186/1687-1812-2012-218.
[17] H. Yazarli and M. A. Ozturk. Permuting Tri-f-derivations in lattices, Commun. Korean Math. Soc., 26(1)(2011), 13-21.
[2] Y. Ceven and M. A. Ozturk. On f-derivations of lattices, Bull. Korean Math. Soc., 45(4)(2008), 701-707.
[3] Y. Ceven. Symmetric Bi-derivations of lattices, Quaestiones Mathematicae, 32(2)(2009), 241-245.
[4] K. H. Kim. Symmetric Bi-f-derivations in lattices, Int. J. Math. Archive, 3(10)(2012), 3676-3683.
[5] M. Asci and S. Ceran, Generalized (f; g)-Derivations of Lattices, Math. Sci. Appl., E-notes, 1(2)(2013), 56-62.
[6] M. A. Ozturk, H. Yazarli and K. H. Kim. Permuting Tri-derivations in lattices, Quaestiones Mathematcae, 32(3)(2009), 415-425.
[7] G. C. Rao. Almost Distributive Lattices. Doctoral Thesis, Dept. of Mathematics, Andhra University, Visakhapatnam, (1980).
[8] G. C. Rao and K. Ravi Babu. The theory of Derivations in Almost Distributive Lattices, Bull. Inter. Math. Virtual Inst., 7(2)(2017), 203-216.
[9] G. C. Rao and K. Ravi Babu. f-derivations in Almost Distributive Lattices, Int. J. Math. Archive, 7(5)(2016), 134-140.
[10] G. C. Rao and K. Ravi Babu. Symmetric bi-derivations in Almost Distributive Lattices, Discussiones Mathematicae - Genaral Algebra and Applications, 36(2)(2016), 169-177.
[11] G. C. Rao and K. Ravi Babu. Symmetric bi-f-derivations in Almost Distributive Lattices, Int. J. Math. Archive, 7(7)(2016), 14-20.
[12] G. C. Rao and K. Ravi Babu. Permuting tri-derivations in Almost Distributive Lattices, Accepted for publication in the journal Southeast Asian Bulletin of Mathematics.
[13] U. M. Swamy and G. C. Rao. Almost Distributive Lattices, J. Aust. Math. Soc. (Series A), 31(1981), 77-91.
[14] G. Szasz. Derivations of lattices, Acta Sci. Math.(Szeged), 37(1975), 149-154.
[15] X. L. Xin, T. Y. Li and J. H. Lu. On derivations of lattices, Information Science, 178(2)(2008), 307-316.
[16] X. L. Xin, The fixed set of derivations in lattices, Fixed Point Theory Appl (2012) 2012: 218. doi:10.1186/1687-1812-2012-218.
[17] H. Yazarli and M. A. Ozturk. Permuting Tri-f-derivations in lattices, Commun. Korean Math. Soc., 26(1)(2011), 13-21.
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2017-01-26
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