Products and Sums of Idempotent Matrices over Principal Ideal Domains

K. P. S. Bhaskara Rao ()
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K. P. S. Bhaskara Rao: Indiana University Northwest, Department of Computer Information Systems

A chapter in Combinatorial Matrix Theory and Generalized Inverses of Matrices, 2013, pp 171-175 from Springer

Abstract: Abstract Writing a square matrix as a product of idempotent matrices attracted the attention of several linear algebraists. Equally interesting is the problem of writing a square matrix as a sum of idempotent matrices. Much work was done for real matrices and for matrices over other algebraic structures. We shall consider some of this work and present some new results for matrices over projective free rings.

Keywords: Idempotent matrices property; Field; Euclidean domain; Principal ideal domain; Projective free ring; 15A33; 15A23; 13F07; 13F10; 11A55 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1053-5_14

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DOI: 10.1007/978-81-322-1053-5_14

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