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Sibirskii Matematicheskii Zhurnal, 2025, Volume 66, Number 5, Pages 937–950
DOI: https://doi.org/10.33048/smzh.2025.66.514 (Mi smj7990) 		 
On isomorphisms of endomorphs and Witt doubles

A. P. Pozhidaev

Sobolev Institute of Mathematics, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2025.66.514
Abstract: The description of isomorphisms of endomorphs of arbitrary finite-dimensional algebras that are not strictly local is reduced to the description of isomorphisms of the initial algebras and to the description of the differential automorphisms of the original associative commutative differentiably simple algebras in the case of finite-dimensional simple left-symmetric Witt doubles over an algebraically closed field of prime characteristic.
Keywords: endomorph, Witt double, isomorphism, automorphism, left-symmetric algebra, simple algebra, pre-Lie algebra.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0002
This research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0002).
Received: 12.03.2025
Revised: 12.03.2025
Accepted: 13.05.2025
English version:
Siberian Mathematical Journal, 2025, Volume 66, Issue 5, Pages 1242–1253
DOI: https://doi.org/10.1134/S0037446625050143
Document Type: Article
UDC: 512.554
MSC: 35R30
Language: Russian
Citation: A. P. Pozhidaev, “On isomorphisms of endomorphs and Witt doubles”, Sibirsk. Mat. Zh., 66:5 (2025), 937–950; Siberian Math. J., 66:5 (2025), 1242–1253
Citation in format AMSBIB
\Bibitem{Poz25}
\by A.~P.~Pozhidaev
\paper On isomorphisms of endomorphs and Witt doubles
\jour Sibirsk. Mat. Zh.
\yr 2025
\vol 66
\issue 5
\pages 937--950
\mathnet{http://mi.mathnet.ru/smj7990}
\transl
\jour Siberian Math. J.
\yr 2025
\vol 66
\issue 5
\pages 1242--1253
\crossref{https://doi.org/10.1134/S0037446625050143}
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