Generalized permuting Tri-derivations on lattices
Keywords:
Lattices , Poset , Modular lattices , Distributive Lattices , permuting tri- derivation , generalized permuting tri-derivation .
Abstract
In this paper , we present the notion of generalized permuting tri – derivations in lattices and looking for some related properties .
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References
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2) C. Carpineto and G. Romano; “ Information retrieval through hyrid navigation of lattice representations ”;INT. J. Hum.-comput. Stud. ;45(5) ;1996 ;553-578 .
3) C. Jana and M. Pal ; “ Generalized Symmetric Bi-derivations of Lattices”; ANNALS of Communications in Math. ; 1(1)(2018) ; 74 – 84 .
doi.org/10.1006/ijhc.1996.0067
4) G. Birkhoof ; “ Lattice Theory” ; American Mathematical society ; Neu York ; 1940 .
5) G. Durfee ; “ Crypt. Analysis of RSA using Algebraic and Lattice Methods” ; Ph.D. Dissertation ; Department of Computer Science ; Stanford University ; 2002.
6) L.Ferrare ;" On Derivations of Lattices" ; PU. M. A. ; 12(4) ; (2001) ; 1-17 .
7) M.A.OZturk , H. Yazarli , K.H.Kim ; "Permuting Tri – derivations In Lattices " ;Quaest. Math. ; 32 (2009) ; 415 – 425 .
8) N. O. Alshehri ; “ Generalized Derivations of Lattices ”;Int. J. Contemp. Math. Sci. ; 5(13) (2010);629-640 .
9) R. S. Sandhu ; “Lattices and Ordered Algebraic Structures;In Proceeding of the 4th European Symposium on Research in computer Security ; Rome ; Italy ; 1996 ; 65-79 .
10) X. L. Xin , T. Y. Li and J. H. Lu ; “ On Derivations of Lattices” ; Inform. Sci. ; 178(2)(2008) ; 307 – 316 . doi.org/10.1016/j.ins.2007.08.018
11) Y. ceven ; “ On Characterization of Lattices Using the Generalized Symmetric Bi-Derivations” ; Bull.Int. Math. Virtual Inst. ; 9(1)(2019) ; 95-102 . doi.org: 10.7251/BIMVI1901095C
12) Y. Ceven; “Symmetric Bi-derivations of Lattices” ;Quaset. Math. ; 32(2)(2009);241- 245 . doi.org/10.2989/QM.2009.32.2.6.799
Published
2022-03-01
How to Cite
Omran, M. (2022). Generalized permuting Tri-derivations on lattices. Al-Qadisiyah Journal of Pure Science, 27(1), Math 70-81. https://doi.org/10.29350/qjps.2022.27.1.1469
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Section
Mathematics
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