517-529

Consider a fieldk, some nonzero elementqofkwhich is not a root of unity, and some nonnegative integern. K. R. Goodearl and E. S. Letzter have proved (1991, Prime factor algebras of the coordinate ring of quantum matrices, preprint) that any prime factor algebra of the coordinate ringOq(imagen(k)) of quantumn×nmatrices overkis a domain. In that paper it is proved that the division ring of fractions of such a domain is always isomorphic to the division ring of fractions of the coordinate ring of some quantum space of dimension at mostn2over some fieldKwhich is an extension ofk. A similar result is also proved for quantum Weyl algebras.