Triangular idempotent matrices over a general ring

2020/06/01 by Stephen E. Wright · 1 citation
Mathematics · Computer Science · #Advanced Topics in Algebra #Matrix Theory and Algorithms #Rings, Modules, and Algebras

paper · doi:10.1080/03081087.2020.1773377

Abstract

A characterization of idempotency is given for triangular matrices with entries from an arbitrary ring. This yields an elementary approach to constructing such matrices. It also reveals structure allowing for the explicit enumeration or implicit counting of all idempotent triangular matrices over a given finite ring.

Citations

• When is a matrix a difference of two idempotents

Cited by

• Strongly nil-clean 2-by-2 matrices over general commutative rings

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