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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 11, Pages 105–110
DOI: https://doi.org/10.26907/0021-3446-2024-11-105-110 (Mi ivm10039) 		 
Brief communications

The second-kind involutions of upper triangular matrix algebras

D. T. Tapkin

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-11-105-110
Abstract: We provide a criterion for the equivalency of the second-kind involutions of upper triangular matrix algebras over commutative rings. For an algebra $T_{n}(F)$ of upper triangular matrices over a field $F$ it is proven that two involutions are equivalent if and only if they coincide after restriction to $F$.
Keywords: upper triangular matrix algebra, involution, equivalency of involutions.
Funding agency Grant number
Russian Science Foundation 23-21-10086
Received: 23.08.2024
Revised: 23.08.2024
Accepted: 26.09.2024
Document Type: Article
UDC: 512.55
Language: Russian
Citation: D. T. Tapkin, “The second-kind involutions of upper triangular matrix algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11, 105–110
Citation in format AMSBIB
\Bibitem{Tap24}
\by D.~T.~Tapkin
\paper The second-kind involutions of upper triangular matrix algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 11
\pages 105--110
\mathnet{http://mi.mathnet.ru/ivm10039}
\crossref{https://doi.org/10.26907/0021-3446-2024-11-105-110}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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