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Algebra i logika, 2008, Volume 47, Number 1, Pages 54–70 (Mi al345)  
This article is cited in 1 scientific paper (total in 1 paper)

Cayley polynomials

Y. Yoshii

Akita National College of Technology
Full-text PDF (204 kB) Citations (1)
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Abstract: We consider a polynomial version of the Cayley numbers. Namely, a ring of Cayley polynomials is defined in terms of generators and relations in the category of alternative algebras. The ring turns out to be an octonion algebra over an ordinary polynomial ring. Also, a localization (a ring of quotients) of the ring of Cayley polynomials gives another description of an octonion torus. Finally, we find a subalgebra of a prime nondegenerate alternative algebra which is an octonion algebra over its center.
Keywords: alternative algebra, ring of Cayley polynomials, octonion algebra.
Received: 11.10.2006
Revised: 30.07.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 1, Pages 32–41
DOI: https://doi.org/10.1007/s10469-008-0003-0
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: Y. Yoshii, “Cayley polynomials”, Algebra Logika, 47:1 (2008), 54–70; Algebra and Logic, 47:1 (2008), 32–41
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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    		Алгебра и логика Algebra and Logic
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