Abstract:
Local stepped configuration of adjoint groups of associated nil algebras is proved. Problems 8.67, 9.76, 13.53 from Kourovka Notebook are partially solved. A number of new issues are formulated.
The work was supported by RFBR grant (project no. 15-01-04897-a).
Received: 13.09.2016 Received in revised form: 15.03.2017 Accepted: 23.08.2017
Bibliographic databases:
Document Type:
Article
UDC:512.544
Language: English
Citation:
Anatoliy I. Sozutov, Inna O. Aleksandrova, “On some properties of adjoint groups of associative nil algebras”, J. Sib. Fed. Univ. Math. Phys., 10:4 (2017), 503–508
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\by Anatoliy~I.~Sozutov, Inna~O.~Aleksandrova
\paper On some properties of adjoint groups of associative nil algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 4
\pages 503--508
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-4-503-508}
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This publication is cited in the following 2 articles:
Orest Artemovych, Victor Bovdi, “Torsion subgroups, solvability and the Engel condition in associative rings”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 116:3 (2022)
A. I. Sozutov, G. P. Egorychev, I. O. Aleksandrova, “O ryadakh Gilberta - Puankare assotsiativnykh algebr, porozhdennykh dvumya nilelementami”, Tr. IMM UrO RAN, 24, no. 2, 2018, 243–255
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