Preservation of radicals by generalizations of derivations

COJUHARI, E. P.; GARDNER, B. J.

dc.contributor.author	COJUHARI, E. P.
dc.contributor.author	GARDNER, B. J.
dc.date.accessioned	2021-12-08T11:46:33Z
dc.date.available	2021-12-08T11:46:33Z
dc.date.issued	2017
dc.identifier.citation	COJUHARI, E. P., GARDNER, B. J. Preservation of radicals by generalizations of derivations. In: Conference of Mathematical Society of the Republic of Moldova: proc., 28 iun. - 2 iul. 2017, Chişinău, Republica Moldova, 2017, pp. pp. 63-66. ISBN 978-9975-71-915-5.	en_US
dc.identifier.isbn	978-9975-71-915-5
dc.identifier.uri	http://repository.utm.md/handle/5014/18313
dc.description.abstract	By results of Anderson and Slin’ko, derivations preserve the locally nilpotent and nil radicals of algebras over a field of characteristic 0. There is also a well known and elementary result that derivations preserve idempotent ideals. The radical results are extended to some (not all) rings, possible generalizations using generalizations of derivations are examined, the relevance of the result about idempotent ideals is pointed out and some comments about the Jacobson radical are included.	en_US
dc.language.iso	en	en_US
dc.publisher	Institutul de Matematică şi Informatică al AŞM	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	algebra	en_US
dc.subject	radicals	en_US
dc.subject	derivations	en_US
dc.title	Preservation of radicals by generalizations of derivations	en_US
dc.type	Article	en_US