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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1139–1146 (Mi smj920)  
This article is cited in 4 scientific papers (total in 4 papers)

Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation
Full-text PDF (183 kB) Citations (4)
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Abstract: We prove that an irreducible binary $(-1,1)$-bimodule over $A$ is alternative in the following cases: (a) $A$ is a composition algebra over a field of characteristic other than 2 and 3; (b) $A$ is a simple finite-dimensional alternative algebra over a field of characteristic 0.
Keywords: irreducible bimodule, binary $(-1,1)$-algebra, composition algebra, simple alternative algebra.
Received: 17.05.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 5, Pages 934–939
DOI: https://doi.org/10.1007/s11202-006-0104-8
Bibliographic databases:
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, “Irreducible binary $(-1,1)$-bimodules over simple finite-dimensional algebras”, Sibirsk. Mat. Zh., 47:5 (2006), 1139–1146; Siberian Math. J., 47:5 (2006), 934–939
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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