Strongly J-clean matrices over 2-projective-free rings
An element \(a\) in a ring \(R\) is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean \(2\times 2\) matrices over 2-projective-free non-commutative rings.
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| Veröffentlicht in: | arXiv.org 2014-10 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | An element \(a\) in a ring \(R\) is strongly J-clean if it is the sum of an idempotent and an element in the Jacobson radical that commutes. We characterize the strongly J-clean \(2\times 2\) matrices over 2-projective-free non-commutative rings. |
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| ISSN: | 2331-8422 |