2-Products of Idempotent by Nilpotent Matrices

2-Products of Idempotent by Nilpotent Matrices

Over Prüfer domains, we characterize idempotent by nilpotent 2-products of 2 × 2 matrices. Nilpotents are always such products. We also provide large classes of rings over which every 2 × 2 idempotent matrix is such a product. Finally, for 2 × 2 matrices over GCD domains, idempotent–nilpotent produc...

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Veröffentlicht in:Bulletin of the Iranian Mathematical Society 2024-08, Vol.50 (4), Article 61
Hauptverfasser: Călugăreanu, Grigore, Pop, Horia F.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:Over Prüfer domains, we characterize idempotent by nilpotent 2-products of 2 × 2 matrices. Nilpotents are always such products. We also provide large classes of rings over which every 2 × 2 idempotent matrix is such a product. Finally, for 2 × 2 matrices over GCD domains, idempotent–nilpotent products which are also nilpotent–idempotent products are characterized.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-024-00883-y