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...
Ausführliche Beschreibung

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. Ausführliche Beschreibung