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math.RA2003
Inverse limits of rings and Multiplier rings
Gert K. Pedersen, Francesc Perera
It is proved that the exchange property, the Bass stable rank and the quasi-Bass property are all preserved under surjective inverse limits. This is then applied to multiplier ring…
math.RA2001
Extensions and Pullbacks in QB-rings
Pere Ara, Gert K. Pedersen, Francesc Perera
We prove a new extension result for rings that allows us to examine extensions of rings where the ideal is purely infinite and simple. We then use this result to explore vario…
math.RA1999
An infinite analogue of rings with stable rank one
Pere Ara, Gert K. Pedersen, Francesc Perera
Replacing invertibility with quasi-invertibility in Bass' first stable range condition we discover a new class of rings, the QB-rings. These constitute a considerable enlargement o…