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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 26–31 (Mi ivm9234)  
This article is cited in 1 scientific paper (total in 1 paper)

On the M.V. Zaicev problem for a Noetherian special Lie algebras

A. N. Blagovisnaya, O. A. Pikhtilkova, S. A. Pikhtilkov

Orenburg State University, 13 Pobeda Ave., Orenburg, 460018 Russia
Full-text PDF (171 kB) Citations (1)
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Abstract: We solve M. V. Zaicev's problem in the following sense: any Noetherian semiprime special Lie algebra be an algebra of matrixes over the commutative ring which is the direct sum of fields.
Keywords: Noetherian Lie algebra, special Lie algebra, Martidale's centroid.
Received: 09.12.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 21–25
DOI: https://doi.org/10.3103/S1066369X17050036
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: A. N. Blagovisnaya, O. A. Pikhtilkova, S. A. Pikhtilkov, “On the M.V. Zaicev problem for a Noetherian special Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 26–31; Russian Math. (Iz. VUZ), 61:5 (2017), 21–25
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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