Hilbert rings and the chain condition for prime ideals.
Höhere Derivationen und Regularität.
Homological properties of some Weyl algebra extensions
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.