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Sibirsk. Mat. Zh., 2006, Volume 47, Number 5, Pages 1139–1146 (Mi smj920)  

This article is cited in 1 scientific paper (total in 1 paper)

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

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation

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

Full text: PDF file (183 kB)
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English version:
Siberian Mathematical Journal, 2006, 47:5, 934–939

Bibliographic databases:

UDC: 512.554.5
Received: 17.05.2005

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. L. R. Borisova, S. V. Pchelintsev, “On the structure of alternative bimodules over semisimple artinian algebras”, Russian Math. (Iz. VUZ), 64:8 (2020), 1–7  mathnet  crossref  crossref  isi
  • Сибирский математический журнал Siberian Mathematical Journal
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