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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 6, Pages 11–30
DOI: https://doi.org/10.26907/0021-3446-2023-6-11-30 (Mi ivm9885) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Involutions in algebras of upper-triangular matrices

I. A. Kulguskin, D. T. Tapkin

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-6-11-30
Abstract: In this paper we classify up to equivalency involutions of first kind in algebras of upper-triangular matrices over commutative rings. In case of a field $F$ of characteristics $2$ we obtain necessary and sufficient conditions for finiteness of the set of invlolutions equivalency classes of $T_{n}(F)$.
Keywords: involution, equivalency of invloutions, algebra of upper-triangular matrices.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-944
Received: 20.10.2022
Revised: 16.11.2022
Accepted: 21.12.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 6, Pages 8–25
DOI: https://doi.org/10.3103/S1066369X2306004X
Document Type: Article
UDC: 512.55
Language: Russian
Citation: I. A. Kulguskin, D. T. Tapkin, “Involutions in algebras of upper-triangular matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 6, 11–30; Russian Math. (Iz. VUZ), 67:6 (2023), 8–25
Citation in format AMSBIB
\Bibitem{KulTap23}
\by I.~A.~Kulguskin, D.~T.~Tapkin
\paper Involutions in algebras of upper-triangular matrices
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 6
\pages 11--30
\mathnet{http://mi.mathnet.ru/ivm9885}
\crossref{https://doi.org/10.26907/0021-3446-2023-6-11-30}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 6
\pages 8--25
\crossref{https://doi.org/10.3103/S1066369X2306004X}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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