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 \({{T}_{n}}(F)\).

中文翻译：

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上三角矩阵代数中的对合

摘要

在本文中，我们研究交换环上上三角矩阵代数中第一类对合的分类。对于特征为 2 的域\(F\) ，我们获得了\({{T}_{n}}(F)\)的对合等价类集合的有限性的充要条件。