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Eurasian Mathematical Journal, 2022, Volume 13, Number 4, Pages 8–17
DOI: https://doi.org/10.32523/2077-9879-2022-13-4-08-17 (Mi emj450) 		 
Nontrivial outer derivations in bimodules over group rings

A. A. Arutyunovab, A. V. Naianzina

a Department of Higher Mathematics, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, Russian Federation
b Laboratory 06, V.A. Trapeznikov Institute of Control Science, Russian Academy of Sciences, 65 Profsoyuznaya street, Moscow 117997, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2022-13-4-08-17
Abstract: Paper is devoted to the description of outer derivations for bimodules over group rings. Examples of corresponding bimodules with nontrivial outer derivations are constructed and their properties are investigated, in particular, their dependence on generating sets. Various types of groups by type of growth are investigated: polynomial and exponential.
Keywords and phrases: group theory, derivations, derivation problem, outer derivations, bimodule.
Funding agency Grant number
Russian Science Foundation 20-11-20131
Ministry of Science and Higher Education of the Russian Federation 075-00337-20-03, project no. 0714-2020-0005
The results of the first author in Section 3 are obtained under the financial support of Russian Science Foundation (project No 20-11-20131). The results of the first author in Section 4 are obtained under the support of the Ministry of Science and Higher Education of the Russian Federation (Goszadanie no. 075-00337-20-03, project no. 0714-2020-0005).
Received: 12.09.2022
Bibliographic databases:
Document Type: Article
MSC: 16D20, 13N15, 47B47
Language: English
Citation: A. A. Arutyunov, A. V. Naianzin, “Nontrivial outer derivations in bimodules over group rings”, Eurasian Math. J., 13:4 (2022), 8–17
Citation in format AMSBIB
\Bibitem{AruNai22}
\by A.~A.~Arutyunov, A.~V.~Naianzin
\paper Nontrivial outer derivations in bimodules over group rings
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 4
\pages 8--17
\mathnet{http://mi.mathnet.ru/emj450}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-4-08-17}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4537107}
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