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On the Cayley–Dickson process for dialgebras. / Pozhidaev, Aleksandr Petrovich.

In: Сибирские электронные математические известия, Vol. 16, 01.2019, p. 2110-2123.

Research output: Contribution to journal › Article › peer-review

Harvard

Pozhidaev, AP 2019, 'On the Cayley–Dickson process for dialgebras', Сибирские электронные математические известия, vol. 16, pp. 2110-2123. https://doi.org/10.33048/semi.2019.16.150

APA

Pozhidaev, A. P. (2019). On the Cayley–Dickson process for dialgebras. Сибирские электронные математические известия, 16, 2110-2123. https://doi.org/10.33048/semi.2019.16.150

Vancouver

Pozhidaev AP. On the Cayley–Dickson process for dialgebras. Сибирские электронные математические известия. 2019 Jan;16:2110-2123. doi: 10.33048/semi.2019.16.150

Author

Pozhidaev, Aleksandr Petrovich. / On the Cayley–Dickson process for dialgebras. In: Сибирские электронные математические известия. 2019 ; Vol. 16. pp. 2110-2123.

BibTeX

@article{d5e9a8ee51a54be4a02ae185ec4090b4,
title = "On the Cayley–Dickson process for dialgebras",
abstract = "We prove that the dialgebras, which are obtained by the Cayley–Dickson process from the two-dimensional commutative associative dialgebra D, are disimple noncommutative Jordan dialgebras. Furthermore, a decomposition holds for them into the direct sum of a composition algebra and the equating ideal of the dialgebra.",
keywords = "Cayley–Dickson process, composition algebra, dialgebra, disimple dialgebra, flexible algebra involution, noncommutative Jordan algebra",
author = "Pozhidaev, {Aleksandr Petrovich}",
note = "Funding Information: Pozhidaev, A.P., On the Cayley–Dickson process for dialgebras. ⃝c 2019 Pozhidaev A.P. The work is supported by RFBR (Grant 18-31-20004). Publisher Copyright: {\textcopyright} 2019 Pozhidaev A.P. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2019",
month = jan,
doi = "10.33048/semi.2019.16.150",
language = "English",
volume = "16",
pages = "2110--2123",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On the Cayley–Dickson process for dialgebras

AU - Pozhidaev, Aleksandr Petrovich

N1 - Funding Information: Pozhidaev, A.P., On the Cayley–Dickson process for dialgebras. ⃝c 2019 Pozhidaev A.P. The work is supported by RFBR (Grant 18-31-20004). Publisher Copyright: © 2019 Pozhidaev A.P. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2019/1

Y1 - 2019/1

N2 - We prove that the dialgebras, which are obtained by the Cayley–Dickson process from the two-dimensional commutative associative dialgebra D, are disimple noncommutative Jordan dialgebras. Furthermore, a decomposition holds for them into the direct sum of a composition algebra and the equating ideal of the dialgebra.

AB - We prove that the dialgebras, which are obtained by the Cayley–Dickson process from the two-dimensional commutative associative dialgebra D, are disimple noncommutative Jordan dialgebras. Furthermore, a decomposition holds for them into the direct sum of a composition algebra and the equating ideal of the dialgebra.

KW - Cayley–Dickson process

KW - composition algebra

KW - dialgebra

KW - disimple dialgebra

KW - flexible algebra involution

KW - noncommutative Jordan algebra

UR - http://www.scopus.com/inward/record.url?scp=85091157857&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=42735192

U2 - 10.33048/semi.2019.16.150

DO - 10.33048/semi.2019.16.150

M3 - Article

AN - SCOPUS:85091157857

VL - 16

SP - 2110

EP - 2123

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 26028343