Journal of Engineering and Applied Sciences
Year:
2018
Volume:
13
Issue:
14 SI
Page No.
10932 - 10935
References
Awtar, R., 1973. Lie and Jordan structure in prime rings with derivations. Proc. Am. Math. Soc., 41: 67-74.
CrossRef | Direct Link | Bresar, M., 1989. Orthogonal derivations and extension of a theorem of Posner. Radovi Mat., 5: 237-246.
Direct Link | Bresar, M., 1993. Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings. Trans. Amer. Math. Soc., 335: 525-546.
Direct Link | Bresar, M., 1995. On generalized biderivations and related maps. J. Algebra, 172: 764-786.
Direct Link | Herestein, I.N., 1976. Rings with Involution. The University of Chicago, Chicago, Illinois, ISBN:9780226328065, Pages: 247.
Maksa, G., 1980. A remark on symmetric biadditive functions having nonnegative diagonalization. Glasnik Math., 15: 279-282.
Maksa, G., 1987. On the trace of symmetric bi-derivations. CR. Math. Rep. Acad. Sci. Canada, 9: 303-307.
Direct Link | Mayne, J.H., 1984. Centralizing mappings of prime rings. Canad. Math. Bull., 27: 122-126.
Direct Link | Oukhtite, L., S. Salhi and L. Taoufiq, 2007. On generalized derivations and commutativity in σ-prime rings. Int. J. Algebra, 1: 227-230.
Direct Link | Posner, E.C., 1957. Derivations in prime rings. Proc. Amer. Math. Soc., 8: 1093-1100.
Direct Link | Samman, M.S. and M.A. Chaudhry, 2008. Dependent elements of left centralizers of semiprime rings. Arab. J. Sci. Eng. Sect. A. Sci., 32: 313-319.
Direct Link | Vukman, J., 1990. Commuting and centralizing mappings in prime rings. Proc. Am. Math. Soc., 109: 47-52.
Direct Link |