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http://dx.doi.org/10.4134/CKMS.2011.26.1.013

PERMUTING TRI-f-DERIVATIONS IN LATTICES  

Yazarl, Hasret (CUMHURIYET UNIVERSITY FACULTY OF ARTS AND SCIENCES DEPARTMENT OF MATHEMATICS)
Ozturk, Mehmet Ali (ADYAMAN UNIVERSITY FACULTY OF ARTS AND SCIENCES DEPARTMENT OF MATHEMATICS)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.1, 2011 , pp. 13-21 More about this Journal
Abstract
The aim of this paper is to introduce the notion of permuting tri-f-derivations in lattices and to study some properties of permuting tri-f-derivations.
Keywords
lattice; derivation; permuting tri-derivation; permuting tri-f-derivation;
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Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
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1 M. A. Ozturk, Permuting tri-derivations in prime and semi-prime rings, East Asian Math. J. 15 (1999), no. 2, 177-190.
2 M. A. Ozturk, Y. Ceven, and Y. B. Jun, Generalized derivations of BCI-algebras, Honam Math. J. 31 (2009), no. 4, 601-609.   DOI   ScienceOn
3 M. A. Ozturk, H. Yazarli, and K. H. Kim, Permuting tri-derivations in lattices, Quaest. Math. 32 (2009), no. 3, 415-425.   DOI
4 E. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093-1100.   DOI   ScienceOn
5 R. S. Sandhu, Role hierarchies and constraints for lattice-based access controls, in: Proceedings of the 4th European Symposium on Research in Computer Security, Rome, Italy, 1996, 65-79.
6 G. Szasz, Derivations of lattices, Acta Sci. Math. (Szeged) 37 (1975), 149-154.
7 X. L. Xin, T. Y. Li, and J. H. Lu, On derivations of lattices, Inform. Sci. 178 (2008), no. 2, 307-316.   DOI   ScienceOn
8 H. Yazarli, M. A. Ozturk, and Y. B. Jun, Tri-additive maps and permuting tri- derivations, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 54 (2005), no. 1, 1-8.
9 J. Zhan and Y. L. Liu, On f-derivations of BCI-algebras, Int. J. Math. Math. Sci. 2005 (2005), no. 11, 1675-1684.   DOI   ScienceOn
10 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.
11 G. Birkhoof, Lattice Theory, American Mathematical Society, Colloquium, 1940.
12 C. Carpineto and G. Romano, Information retrieval through hybrid navigation of lattice representations, Int. J. Human-Computers Studies 45 (1996), 553-558.   DOI   ScienceOn
13 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.   DOI   ScienceOn
14 Y. Ceven, Symmetric bi-derivations of lattices, Quaest. Math. 32 (2009), no. 2, 241-245.   DOI
15 Y. Ceven and M. A. Ozturk, On the trace of a permuting tri-additive mapping in left s-unital rings, Int. J. Pure Appl. Math. 23 (2005), no. 4, 465-474.
16 Y. Ceven and M. A. Ozturk, On f-derivations of lattices, Bull. Korean Math. Soc. 45 (2008), no. 4, 701-707.   과학기술학회마을   DOI   ScienceOn
17 L. Ferrari, On derivations of lattices, Pure Math. Appl. 12 (2001), no. 4, 365-382.
18 A. Honda and M. Grabish, Entropy of capacities on lattices and set systems, Inform. Sci. 176 (2006), no. 23, 3472-3489.   DOI   ScienceOn
19 Y. B. Jun and X. L. Xin, On derivations of BCI-algebras, Inform. Sci. 159 (2004), no. 3-4, 167-176.   DOI   ScienceOn
20 F. Karacal, On the direct decomposability of strong negations and S-implication operators on product lattices, Inform. Sci. 176 (2006), no. 20, 3011-3025.   DOI   ScienceOn
21 D. Ozden, M. A. Ozturk, and Y. B. Jun, Permuting tri-derivations in prime and semi-prime gamma rings, Kyungpook Math. J. 46 (2006), no. 2, 153-167.
22 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.   DOI
23 R. Balbes and P. Dwinger, Distributive Lattices, University of Missouri Press, Columbia, Mo., 1974.
24 A. J. Bell, The co-information lattice, in: 4th International Symposium on Independent Component Analysis and Blind Signal Separation (ICA2003), Nara, Japan, 2003, 921-926.