Glasnik Matematicki, Vol. 40, No.1 (2005), 47-49.

A NOTE ON GENERALIZED DERIVATIONS OF PRIME RINGS

Ivica Gusic

Faculty of Chemical Engineering and Technology, University of Zagreb, Marulicev trg 19, 10000 Zagreb, Croatia
e-mail: igusic@fkit.hr


Abstract.   We show that a generalized derivation on a prime ring, that acts as a homomorphism or an anti-homomorphism on a non-zero ideal in the ring, is the zero map or the identity map.

2000 Mathematics Subject Classification.   16W25.

Key words and phrases.   Prime rings, homomorphisms, anti-homomorphisms.


Full text (PDF) (free access)

DOI: 10.3336/gm.40.1.05


References:

  1. N. Rehman, On generalized derivations as homomorphisms and anti-homomorphisms, Glasnik Mat. 39(59) (2004), 27-30.

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