Geodesic
The second-kind involutions of upper triangular matrix algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2024), pp. 105-110
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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. 
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     author = {D. T. Tapkin},
     title = {The second-kind involutions of upper triangular matrix algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2024_11_a9/}
}
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D. T. Tapkin. The second-kind involutions of upper triangular matrix algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2024), pp. 105-110. http://geodesic.mathdoc.fr/item/IVM_2024_11_a9/

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