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m-potent commutators of skew derivations on Lie ideals

m-potent commutators of skew derivations on Lie ideals AbstractThe purpose of this paper is to investigate the behavior of prime rings involving skew derivations with m-potent commutators on Lie ideals. In addition, we provide an example that shows that we cannot expect the same conclusion in case of semiprime rings. Also, we prove some other related results and present some open problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

m-potent commutators of skew derivations on Lie ideals

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Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2020-2084
Publisher site
See Article on Publisher Site

Abstract

AbstractThe purpose of this paper is to investigate the behavior of prime rings involving skew derivations with m-potent commutators on Lie ideals. In addition, we provide an example that shows that we cannot expect the same conclusion in case of semiprime rings. Also, we prove some other related results and present some open problems.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2021

Keywords: Prime ring; Lie ideal; maximal right ring of quotients; generalized polynomial identity (GPI); skew derivation; generalized skew derivation; automorphism; 16N60; 16U80; 16W25

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