×

Left annihilator of identity with pair of generalized derivations in prime and semiprime rings. (English) Zbl 1501.16035

MSC:

16W25 Derivations, actions of Lie algebras
16N60 Prime and semiprime associative rings
PDFBibTeX XMLCite
Full Text: Link

References:

[1] M. Ashraf , N. Rehman, On commutativity of rings with derivations,Results Math.,42, 3-8 (2002). · Zbl 1038.16021
[2] B. Dhara, S. Ali, A. Pattanayak, Identities with generalized derivations in semiprime rings,Demonstratio Mathematica,XLVI(3), 453-460 (2013). · Zbl 1290.16041
[3] C. Lanski, An Engel condition with derivation,Proc. Amer. Math. Soc.,118, 731-734 (1993). · Zbl 0821.16037
[4] C.L Chuang, GPIs having coefficients in Utumi quotient rings,Proc. Amer. Math. Soc.,103, 723-728 (1988). · Zbl 0656.16006
[5] H.E. Bell, M.N. Daif, On commutativity and strong commutativity-preserving maps,Cand. Math. Bull., 37, 443-447 (1994). · Zbl 0820.16031
[6] J.H. Mayne, Centralizing mappings of prime rings,Cand. Math. Bull.,27, 122-126 (1984). · Zbl 0537.16029
[7] K.I. Beidar, W.S. Martindale III, A.V. Mikhalev,Rings with generalized identities, Int. Pure and Applied Mathematics, Dekker, New York, 1996. · Zbl 0847.16001
[8] M.Bresar˘, On the distance of the composition of two derivations to the generalized derivations,Glasgow Math. J.,33, 89-93 (1991). · Zbl 0731.47037
[9] N. Jacobson,Structure of Rings, Colloq. Publications, Amer. Math. Soc., 1956. · Zbl 0073.02002
[10] S. Huang, Derivation with Engel conditions in prime and semiprime rings,Czechoslovak Math. J.,61, 1135-1140 (2011). · Zbl 1240.16048
[11] S. Huang, Generalized derivation of prime rings,International Journal of Mathematics and Mathematical Sciences,2007, (2007). · Zbl 1140.16015
[12] T. Erickson, W.S. Martindale III, J.M. Osborn, Prime nonassociative algebras,Pacific J. Math.,60, 49-63 (1975). · Zbl 0355.17005
[13] T.K. Lee, Generalized derivations of left faithful rings,Commun. Algebra,27, 4057-4073 (1999). · Zbl 0946.16026
[14] T.K. Lee, Semiprime rings with differential identities,Bull. Inst. Math. Acad. Sin.,8, 27-38 (1992). · Zbl 0769.16017
[15] V. K. Kharchenko, Differential identities of prime rings,Algebra and Logic,17, 155-168 (1978). · Zbl 0423.16011
[16] A. Ali, V. De Filippis , S. Khan, Power Values of Generalized Derivations with Annihilator Conditions in Prime Rings,Comm. Algebra,44, 87-97 (2016). · Zbl 1354.16020
[17] H. E. Bell and W. S. Martindale III, Centralizing mappings of semiprime rings,Canad. Math. Bull.,30, 92-101 (1987) · Zbl 0614.16026
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.