Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	There are no nontrivial two-sided multiplicative (generalized)-skew derivations in prime rings
Publication Date:	2020-02-13
Authors:	- Jose Brox
Abstract:	As originally defined by Mozumder and Dhara ([15]), multiplicative (generalized)-skew derivations must satisfy two identities. In this short note we show that, as a consequence of the simultaneous satisfaction of both identities, a multiplicative (generalized)-skew derivation of a prime ring is either a multiplicative (generalized) derivation (i.e., not skew), or a generalized skew derivation (i.e., additive). Therefore only one of the identities should be taken in the definition of multiplicative (generalized)-skew derivations in order to get a new class of derivations in prime rings.
Institution:	DMUC 20-08
Online version:	http://www.mat.uc.pt...prints/eng_2020.html
Download:	Not available