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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1211–1221 (Mi smj1364)  

This article is cited in 17 scientific papers (total in 17 papers)

On generalized $(\sigma,\tau)$-derivations

N. Argaç, E. Albaş

Department of Mathematics, Science Faculty, Ege University, 35100 Bornova, Izmir, Turkey
Abstract: We generalize the notion of $(\sigma,\tau)$-derivation of Nakajima and Bresar. We define the generalized $(\sigma,\tau)$-derivations, generalized Jordan $(\sigma,\tau)$-derivations, and generalized Lie $(\sigma,\tau)$-derivations. We study interrelations between these classes of derivations as well as their homological properties.
Keywords: generalized derivation, noncommutative ring, bimodule, exact sequence of modules, splitting sequence.
Received: 25.03.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 977–984
DOI: https://doi.org/10.1023/A:1021172031215
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: N. Argaç, E. Albaş, “On generalized $(\sigma,\tau)$-derivations”, Sibirsk. Mat. Zh., 43:6 (2002), 1211–1221; Siberian Math. J., 43:6 (2002), 977–984
Citation in format AMSBIB
\Bibitem{ArgAlb02}
\by N.~Arga{\c c}, E.~Alba{\c s}
\paper On generalized $(\sigma,\tau)$-derivations
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 6
\pages 1211--1221
\mathnet{http://mi.mathnet.ru/smj1364}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946224}
\zmath{https://zbmath.org/?q=an:1016.16023}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 977--984
\crossref{https://doi.org/10.1023/A:1021172031215}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300001}
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  • https://www.mathnet.ru/eng/smj/v43/i6/p1211
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Сибирский математический журнал Siberian Mathematical Journal
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