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Matematicheskie Zametki, 2015, Volume 98, Issue 5, Pages 747–755
DOI: https://doi.org/10.4213/mzm10709 (Mi mzm10709) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Just Infinite Alternative Algebras

A. S. Panasenkoab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (442 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10709
Abstract: Alternative just infinite-dimensional algebras are studied, i.e., infinite-dimensional algebras in which every nonzero ideal has finite codimension. It is proved that these algebras are prime. In the nonassociative case, the Noetherian property with respect to one-sided ideals is proved, and the cases of Cayley–Dickson rings and exceptional algebras are investigated.
Keywords: alternative algebra, just infinite-dimensional algebra, prime algebra, Noetherian property with respect to one-sided ideals, Cayley–Dickson ring, exceptional algebra.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00014
Received: 06.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 5, Pages 805–812
DOI: https://doi.org/10.1134/S0001434615110097
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
MSC: 17D05
Language: Russian
Citation: A. S. Panasenko, “Just Infinite Alternative Algebras”, Mat. Zametki, 98:5 (2015), 747–755; Math. Notes, 98:5 (2015), 805–812
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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