Stable Range of Some Classes of Noncommutative Rings

Stable Range of Some Classes of Noncommutative Rings

It is shown that the right-adequate duo ring with a nonzero Jacobson radical has stable range one. It is established that the class of complete matrices of order 2 over a duo elementary divisors ring has stable range one. Some classes of unit-regular and clean matrices over a duo ring are investigat...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-02, Vol.261 (1), p.33-40
Hauptverfasser: Bilous, A. M., Gatalevych, A. I.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Rings (mathematics)
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Zusammenfassung:It is shown that the right-adequate duo ring with a nonzero Jacobson radical has stable range one. It is established that the class of complete matrices of order 2 over a duo elementary divisors ring has stable range one. Some classes of unit-regular and clean matrices over a duo ring are investigated.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05735-w