On $3\times 3$ strongly clean upper triangular matrices

A. Nikkhah, Bijan Davvaz, F. M. Maalek Ghaini

Abstract


In this paper we construct all classes of $3\times 3$ strongly clean upper triangular matrices  ove $\mathbb Z$. Moreover, necessary and sufficient conditions under which a  $3\times 3$ upper triangular matrices ove $\mathbb Z$ is strongly clean are given.

Keywords


Strong cleanness, upper triangular matrix, idempotent matrix

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