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Matrices over a commutative ring as sums of three idempotents or three involutions
- Publication Year :
- 2017
-
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.<br />Comment: 14 pages. It has been accepted for publishing on Linear and Multilinear Algebra
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1712.04607
- Document Type :
- Working Paper