On generalized derivations of incline algebras
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Date
2014
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Publisher
Hacettepe Univ, FAC Sci
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Abstract
In this paper as a generalization of derivation of an incline algebra thenotion of generalized derivation in an incline algebra is introduced andsome of its properties are investigated in an incline and integral inclinealgebra.
Description
Keywords
Matematik, Integral Incline, Derivation, (sub)incline, Ideal, Generalized Derivation
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Citation
[1] AL-SHEHRI N. O. On Derivations of Incline Algebras Scientia Mathematicae Japonicae 71 No.3 (2010) 349-355: e-2010 199-205.[2] CAO Z. Q. KIM K. H. and ROUSH F. W. Incline Algebra and Applications Ellis Horwood Series : Mathematics and Its Applications Ellis Horwood Chichester UK 1984.[3] C¸ EVEN Y. AND OZT ¨ URK M.A. ¨ On f-Derivations of latticesBull. Korean Math. Soc. 45 (2008) No.4 pp. 701-707.[4] C¸ EVEN Y. Symmetric bi-derivations of lattices Quaestiones Mathematicae (2009) 32:2 241-245.[5] FERRARI L. On Derivations of Lattices Pure Math. Appl. 12 (2001) no.4 365-382.[6] KAYA K. Prime rings with ?-derivations Hacettepe Bull. Natural Sci. and Eng. 16-17 (1987/1988) 63-71.[7] MEEBAKSHI A. R. and ANBALAGAN S. On Regular Elements in an Incline International JOurnal of Mathematics and Mathematical Sciences Volume 2010 Article ID 9030363 12 pages.[8] OZBAL AYAR S. and FIRAT A. ¨ Symmetric f Bi-Derivations of Lattices ARS Combinatoria (2010) Volume XCVII October.´[9] OZBAL AYAR S. and FIRAT A. ¨ On f-Derivations of Incline Algebras IJPAM (2011) Volume 3 No.1 83-90.[10] POSNER E. Derivations in prime ringsProc. Amer. Math. Soc. 8 (1957) 1093-1100.[11] SZASZ G. Derivations of Lattices Acta Sci. Math. (Szeged) 37 (1975) 149-154.[12] XIN X. L. LI T.Y. AND LU J. H. On derivations of Lattices Information Sciences 178 (2008) 307-316.
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Source
Hacettepe Journal of Mathematics and Statistics
Volume
43
Issue
4
Start Page
553
End Page
559
