Abstract
The main object in this article is to discuss the generalized derivation acting as homomorphism or anti-homomorphism in some nonzero left ideal of a semiprime ring.
Similar content being viewed by others
References
Bell H.E., Kappe L.C.: Rings in which derivations satisfy certain algebraic conditions. Acta Math. Hung. 53, 339–346 (1989)
Bell H.E., Martindale W.S. III: Centralizing map**s of semiprime rings. Can. Math. Bull. 30(1), 92–101 (1987)
Daif M.N., Bell H.E.: Remarks on derivations on semiprime rings. Int. J. Math. Math. Sci. 15(1), 205–206 (1992)
Gusic I.: A note on generalized derivations of prime rings. Glasnik Mate. 40(60), 47–49 (2005)
Rehman N.: On generalized derivations as homomorphisms and anti-homomorphisms. Glasnik Mate. 39(59), 27–30 (2004)
Author information
Authors and Affiliations
Corresponding author
Additional information
The author is grateful to University Grants Commission of India for financial support under grant No.F. PSW-099/10-11.
Rights and permissions
About this article
Cite this article
Dhara, B. Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings. Beitr Algebra Geom 53, 203–209 (2012). https://doi.org/10.1007/s13366-011-0051-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13366-011-0051-9