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arXiv · 1712.04607

Matrices over a commutative ring as sums of three idempotents or three involutions

Gaohua Tang·Yiqiang Zhou·Huadong Su
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Abstract

Motivated by Hirano-Tominaga's work \cite{HT} on rings for which every element is a sum of two idempotents and by de Seguins Pazzis's results \cite{de} on decomposing every matrix over a field of positive characteristic as a sum of idempotent matrices, we address decomposing every matrix over a commutative ring as a sum of three idempotent matrices and, respectively, as a sum of three involutive matrices.

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Gaohua Tang, Yiqiang Zhou, Huadong Su. 2017-12-13. Matrices over a commutative ring as sums of three idempotents or three involutions. https://arxiv.org/abs/1712.04607

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