The second-kind involutions of upper triangular matrix algebras

. 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 .

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Publication Details

Journal
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Published
2024-12-03
DOI
https://doi.org/10.26907/0021-3446-2024-11-105-110
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
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article

The second-kind involutions of upper triangular matrix algebras

D. T. Tapkin
3 links
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Advanced Topics in Algebra
article

The second-kind involutions of upper triangular matrix algebras

D. T. Tapkin
article en

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 .

Izvestiya Vysshikh Uchebnykh Zavedenii Matematika(11)
Kazan Federal University (RU)
Openalex Percentile: Top 60%
Advanced Topics in Algebra
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The second-kind involutions of upper triangular matrix algebras — D. T. Tapkin · Izvestiya Vysshikh Uchebnykh Zavedenii Matematika (2024) | TGRS Research Map | TGRS