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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 7–15
DOI: https://doi.org/10.1134/S0371968516010015 (Mi tm3693) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Local nilpotency of the McCrimmon radical of a Jordan system

José A. Anquelaa, Teresa Cortésa, Efim Zelmanovb

a Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, 33007 Oviedo, Spain
b Department of Mathematics, University of California, San Diego, 9500 Gilman Dr., La Jolla, CA 92093-0112, USA
Full-text PDF (201 kB) Citations (5)
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DOI: https://doi.org/10.1134/S0371968516010015
Abstract: Using the fact that absolute zero divisors in Jordan pairs become Lie sandwiches of the corresponding Tits–Kantor–Koecher Lie algebras, we prove local nilpotency of the McCrimmon radical of a Jordan system (algebra, triple system, or pair) over an arbitrary ring of scalars. As an application, we show that simple Jordan systems are always nondegenerate.
Funding agency Grant number
Ministerio de Economía y Competitividad
Federación Española de Enfermedades Raras MTM2014-52470-P
National Science Foundation
The first two authors were partially supported by the Spanish Ministerio de Economía y Competitividad and Fondos FEDER, MTM2014-52470-P. The third author was partially supported by the National Science Foundation of the USA.
Received: November 24, 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 1–9
DOI: https://doi.org/10.1134/S0081543816010016
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: English
Citation: José A. Anquela, Teresa Cortés, Efim Zelmanov, “Local nilpotency of the McCrimmon radical of a Jordan system”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 7–15; Proc. Steklov Inst. Math., 292 (2016), 1–9
Citation in format AMSBIB
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\paper Local nilpotency of the McCrimmon radical of a Jordan system
\inbook Algebra, geometry, and number theory
\bookinfo Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday
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\vol 292
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\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 5 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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