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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 395–402
DOI: https://doi.org/10.4213/mzm11119 (Mi mzm11119) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nil Ideals of Finite Codimension in Alternative Noetherian Algebras

V. N. Zhelyabinab, A. S. Panasenkob

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (432 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11119
Abstract: Alternative (right) Noetherian algebras are considered. It is proved that, in these algebras, the nil ideals of finite codimension are nilpotent, which generalizes the corresponding Zhevlakov's result. As a corollary, we describe just infinite alternative nonassociative algebras (for the field characteristic distinct from 2).
Keywords: Noetheriaty, nil ideal, alternative algebra, just infinite algebra, exceptional algebra, codimension.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014
Received: 18.02.2016
Revised: 31.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 460–466
DOI: https://doi.org/10.1134/S0001434617030075
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 17D05
Language: Russian
Citation: V. N. Zhelyabin, A. S. Panasenko, “Nil Ideals of Finite Codimension in Alternative Noetherian Algebras”, Mat. Zametki, 101:3 (2017), 395–402; Math. Notes, 101:3 (2017), 460–466
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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