Abstract
The aim of the present paper is to establish some results concerning centrally-extended *-derivations and centrally-extended generalized *-derivations. Also, we investigate the commutativity of semiprime rings with such maps.
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Ali, S.: On generalized *-derivations in *-rings. Palestine J. Math. 1, 32–37 (2012)
Ashraf, M., Ali, A., Ali, S.: On Lie ideals and generalized \((\theta, \phi )\)-Jordan derivations on prime rings. Commun. Algebra 32, 2977–2985 (2004)
Bell, H.E., Daif, M.N.: On commutativity and strong commutativity preserving maps. Can. Math. Bull. 37, 443–447 (1994)
Bell, H.E., Daif, M.N.: On centrally-extended maps on rings. Beitr. Algebra Geom. 8, 129–136 (2016)
Bell, H.E., Martindale III, W.S.: Centralizing mappings of semiprime rings. Can. Math. Bull. 30(1), 92–101 (1987)
Bres̆ar, M.: On the distance of the composition of two derivations to the generalized derivations. Glasg. Math. J 33, 89–93 (1991)
Bres̆ar, M., Vukman, J.: On some additive mappings in rings with involution. Aequationes Math. 38, 178–185 (1989)
Bres̆ar, M., Vukman, J.: Jordan \((\theta, \phi )\)-derivations. Glasnik Math. 46, 13–17 (1991)
Tammam El-Sayiad, M.S., Muthana, N.M., Alkhamisi, Z.S.: On centrally-extended maps on rings. Beitr. Algebra Geom. 8, 579–588 (2016)
Zalar, B.: On centralizers of semiprime rings. Comment. Math. Univ. Carol. 32(4), 609–614 (1991)
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El-Deken, S.F., Nabiel, H. Centrally-extended generalized *-derivations on rings with involution. Beitr Algebra Geom 60, 217–224 (2019). https://doi.org/10.1007/s13366-018-0415-5
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DOI: https://doi.org/10.1007/s13366-018-0415-5
Keywords
- Generalized *-derivations
- Centrally-extended *-derivations
- Centrally-extended generalized *-derivations
- Semiprime rings