Involutions in Algebras of Upper-Triangular Matrices

被引：1

作者：

Kulguskin, I. A. ^{[1
]}

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

机构：

[1] Kazan Fed Univ, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2023年 / 67卷 / 06期

关键词：

involution; equivalence of involutions; algebra of upper-triangular matrices; AUTOMORPHISMS;

D O I：

10.3103/S1066369X2306004X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页码：8 / 25

页数：18