The Kostrikin Radical and Similar Radicals of Lie Algebras
Journal Article
·
· Journal of Mathematical Sciences
- Bauman Moscow State Technical University, Faculty of Informatics and Control Systems (Russian Federation)
The existing notion of the Kostrikin radical as a radical in the Kurosh–Amitsur sense on classes of Mal’tsev algebras over rings with 1/6 is not completely justified. More precisely, to the fullest extent it is true for classes of Lie algebras over fields of characteristic zero and, as shown in the given paper, classes of algebraic Lie algebras of degree not greater than n over rings with 1/n! at all n ≥ 1. Similar conclusions are obtained in the paper also for the Jordan, regular, and extremal radicals constructed analogously to the Kostrikin radical.
- OSTI ID:
- 22921376
- Journal Information:
- Journal of Mathematical Sciences, Vol. 237, Issue 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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