ON f-DERIVATIONS OF LATTICES

Title & Authors
ON f-DERIVATIONS OF LATTICES
Ceven, Yilmaz; Ozturk, Mehmet Ali;

Abstract
In this paper, as a generalization of derivation on a lattice, the notion of f-derivation for a lattice is introduced and some related properties are investigated.
Keywords
lattice;derivation;f-derivation;
Language
English
Cited by
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References
1.
R. Balbes and P. Dwinger, Distributive Lattices, University of Missouri Press, Columbia, Mo., 1974

2.
A. J. Bell, The co-information lattice, 4th Int. Symposium on Independent Component Analysis and Blind Signal Seperation (ICA2003), Nara, Japan, 2003, 921-926

3.
H. E. Bell and L. C. Kappe, Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hungar. 53 (1989), no. 3-4, 339-346

4.
H. E. Bell and G. Mason, On derivations in near-rings, Near-rings and near-fields (Tubingen, 1985), 31-35, North-Holland Math. Stud., 137, North-Holland, Amsterdam, 1987

5.
G. Birkhoof, Lattice Theory, American Mathematical Society, New York, 1940

6.
C. Carpineto and G. Romano, Information retrieval through hybrid navigation of lattice representations, International Journal of Human-Computers Studies 45 (1996), 553-578

7.
C. Degang, Z. Wenxiu, D. Yeung, and E. C. C. Tsang, Rough approximations on a complete completely distributive lattice with applications to generalized rough sets, Inform. Sci. 176 (2006), no. 13, 1829-1848

8.
G. Durfee, Cryptanalysis of RSA using algebraic and lattice methods, A dissertation submitted to the department of computer sciences and the committe on graduate studies of Stanford University (2002), 1-114

9.
A. Honda and M. Grabisch, Entropy of capacities on lattices and set systems, Inform. Sci. 176 (2006), no. 23, 3472-3489

10.
Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Inform. Sci. 159 (2004), no. 3-4, 167-176

11.
K. Kaya, Prime rings with $\alpha$-derivations, Hacettepe Bull. Natural. Sci. and Eng. 16-17 (1987/1988), 63-71

12.
E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100

13.
R. S. Sandhu, Role hierarchies and constraints for lattice-based access controls, Proceedings of the 4th Europan Symposium on Research in Computer Security, Rome, Italy, 1996, 65-79

14.
X. L. Xin, T. Y. Li, and J. H. Lu, On derivations of lattices, Inform. Sci. 178 (2008), no. 2, 307-316

15.
J. Zhan and Y. L. Liu, On f-derivations of BCI-algebras, Int. J. Math. Math. Sci. (2005), no. 11, 1675-1684