The Second-Kind Involutions of Upper Triangular Matrix Algebras

被引：0

作者：

Tapkin, D. T. ^{[1
]}

机构：

[1] Kazan Fed Univ, Kazan 420124, Russia

来源：

RUSSIAN MATHEMATICS | 2024年 / 68卷 / 11期

基金：

俄罗斯科学基金会;

关键词：

upper triangular matrix algebra; involution; equivalence of involutions;

D O I：

10.3103/S1066369X24700932

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a criterion for the equivalence 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 involutions are equivalent iff they coincide after restriction to F.

引用

页码：91 / 95

页数：5

共 5 条

[1]

Albert A. A., 1961, AM MATH SOC COLLOQ P, VXXIV

[2] Involutions for upper triangular matrix algebras [J].