Idempotents in triangular matrix rings

被引：6

作者：

Hou, Xin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 02期

关键词：

Idempotents; triangular matrices; infinite matrices; matrix rings; LINEAR-COMBINATIONS; PRODUCTS; TRIPOTENT;

D O I：

10.1080/03081087.2019.1596223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an associative ring with identity 1. We describe all idempotent matrices with only zeros and ones on the diagonal in T (n, R) - the ring of n x n upper triangular matrices over R (n epsilon N), and - T (infinity, R) - the ring of infinite upper triangular matrices (indexed by ) over R. Moreover, when R is finite, we calculate the number of all idempotent matrices with only zeros and ones on the diagonal in T(n, R).

引用

页码：296 / 304

页数：9

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