Some matrix completions over integral domains

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2016 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 507, pages 414-419 (issn: 0024-3795,

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Authors: Grigore Călugăreanu;

doi: 10.1016/j.laa.2016.06.034

Some matrix completions over integral domains

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Abstract

Abstract We characterize 3 × 3 nilpotent matrices which are completions of 2 × 2 arbitrary matrices and 3 × 3 idempotent matrices which are completions of 2 × 2 arbitrary matrices over integral domains. As an application we show that a nil-clean element of a ring which belongs to a corner of the ring, may not be nil-clean in this corner.

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Babeș-Bolyai University
Romania

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