S. V. Pchelintsev, O. V. Shashkov, “Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$”, Mat. Zametki, 100:4 (2016), 577–585; Math. Notes, 100:4 (2016), 589

Loading [MathJax]/jax/output/SVG/config.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2016, Volume 100, Issue 4, Pages 577–585
DOI: https://doi.org/10.4213/mzm10880 (Mi mzm10880)

This article is cited in 12 scientific papers (total in 12 papers)

Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Full-text PDF (476 kB) Citations (12)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm10880

Abstract: An algebra obtained by the external adjoining a unit to a nilalgebra is said to be unitary. It is proved that every simple finite-dimensional right alternative superalgebra with unitary even part over a field of characteristic $0$ is associative.

Keywords: simple superalgebra, simple finite-dimensional right alternative superalgebra, unital superalgebra, radical.

Funding agency	Grant number
Russian Foundation for Basic Research	14-01-00014
This work was supported by the Russian Foundation for Basic Research under grant 14-01-00014.

Received: 28.06.2015

English version:
Mathematical Notes, 2016, Volume 100, Issue 4, Pages 589–596
DOI: https://doi.org/10.1134/S0001434616090303

Bibliographic databases:

Document Type: Article

UDC: 512.554.5

Language: Russian

Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$”, Mat. Zametki, 100:4 (2016), 577–585; Math. Notes, 100:4 (2016), 589–596

Citation in format AMSBIB

\Bibitem{PchSha16}

\by S.~V.~Pchelintsev, O.~V.~Shashkov

\paper Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic~$0$

\jour Mat. Zametki

\yr 2016

\vol 100

\issue 4

\pages 577--585

\mathnet{http://mi.mathnet.ru/mzm10880}

\crossref{https://doi.org/10.4213/mzm10880}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588879}

\elib{https://elibrary.ru/item.asp?id=27349879}

\transl

\jour Math. Notes

\yr 2016

\vol 100

\issue 4

\pages 589--596

\crossref{https://doi.org/10.1134/S0001434616090303}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386774200030}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992036367}

Linking options:

https://www.mathnet.ru/eng/mzm10880

https://doi.org/10.4213/mzm10880

https://www.mathnet.ru/eng/mzm/v100/i4/p577

This publication is cited in the following 12 articles:

S. V. Pchelintsev, O. V. Shashkov, “Simple right alternative superalgebras”, J. Math. Sci., 284:4 (2024), 527–544
O. V. Shashkov, “Right alternative superalgebras of capacity 1 with strongly alternative even part”, Algebra and Logic, 59:2 (2020), 180–195
S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Siberian Math. J., 61:2 (2020), 304–321
O. V. Shashkov, “Finite-dimensional unital right alternative superalgebras with strongly alternative even part”, Siberian Math. J., 61:5 (2020), 926–940
O. V. Shashkov, “Ob osnovnoi teoreme Vedderberna dlya pravoalternativnykh superalgebr emkosti $1$”, Sib. elektron. matem. izv., 17 (2020), 1571–1579
S. V. Pchelintsev, O. V. Shashkov, “Linearly generated singular superalgebras”, J. Algebra, 546 (2020), 580–603
L. S. I. Murakami, S. V. Pchelintsev, O. V. Shashkov, “Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part”, J. Algebra, 528 (2019), 150–176
S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative unital superalgebras over an algebra of matrices of order $2$”, Algebra and Logic, 58:1 (2019), 77–94
S. V. Pchelintsev, O. V. Shashkov, “Singulyarnye 6-mernye superalgebry”, Sib. elektron. matem. izv., 15 (2018), 92–105
S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero”, Izv. Math., 82:3 (2018), 578–595
S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part”, Sb. Math., 208:4 (2017), 531–545
S. V. Pchelintsev, O. V. Shashkov, “Simple $5$-dimensional right alternative superalgebras with trivial even part”, Siberian Math. J., 58:6 (2017), 1078–1089

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	347
Full-text PDF :	41
References:	58
First page:	18

Что такое QR-код?

Registration to the website

Logotypes