E-Clean Matrices and Unit-Regular Matrices

Authors

  • S. Razaghi Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code 14168-94351, Iran
  • Sh. A. Safari Sabet Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code 14168-94351, Iran
Abstract:

Let $a, b, k,in K$ and $u, v in U(K)$. We show for any idempotent $ein K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.

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Journal title

volume 01  issue 02

pages  115- 118

publication date 2012-06-01

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