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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 174–182 (Mi smj1276)  
This article is cited in 1 scientific paper (total in 1 paper)

On homotopes of Novikov algebras

V. A. Seredaa, V. T. Filippov

a Krasnoyarsk State Agricultural University
Full-text PDF (166 kB) Citations (1)
Abstract: Given a unital associative commutative ring Ф containing $\frac{1}{2}$, we consider a homotope of a Novikov algebra, i.e. an algebra $A_{\varphi }$ that is obtained from a Novikov algebra $A$ by means of the derived operation $x\cdot y=xy\varphi$ on the Ф-module $A$, where the mapping $\varphi$ satisfies the equality $xy\varphi =x(y\varphi)$. We find conditions for a homotope of a Novikov algebra to be again a Novikov algebra.
Received: 26.10.2000
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 1, Pages 1–7
DOI: https://doi.org/10.1023/A:1013888924634
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: V. A. Sereda, V. T. Filippov, “On homotopes of Novikov algebras”, Sibirsk. Mat. Zh., 43:1 (2002), 174–182; Siberian Math. J., 43:1 (2002), 1–7
Citation in format AMSBIB
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\by V.~A.~Sereda, V.~T.~Filippov
\paper On homotopes of Novikov algebras
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 1
\pages 174--182
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1888128}
\zmath{https://zbmath.org/?q=an:1035.17003}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 1
\pages 1--7
\crossref{https://doi.org/10.1023/A:1013888924634}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173897400001}
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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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    		Сибирский математический журнал Siberian Mathematical Journal
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