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Associative and Lie algebras of quotients
Francesc Perera, Mercedes Siles Molina
In this paper we examine how the notion of algebra of quotients for Lie algebras ties up with the corresponding well-known concept in the associative case. Specifically, we complet…
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…
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…
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…