Abstract
In this paper we investigate the classification of involutions of the first kind in algebra 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 involutions equivalence classes of \({{T}_{n}}(F)\).
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ACKNOWLEDGMENTS
The authors thank A.N. Abyzov for his constant attention to the work and formulation of the main problems.
Funding
The work is performed under the development program of Volga Region Mathematical Center (agreement no. 075-02-2023-944).
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Kulguskin, I.A., Tapkin, D.T. Involutions in Algebras of Upper-Triangular Matrices. Russ Math. 67, 8–25 (2023). https://doi.org/10.3103/S1066369X2306004X
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DOI: https://doi.org/10.3103/S1066369X2306004X