Homological dimension of cyclic Banach modules and homological characterization of metrizable compacta

Homological Aspects of Noetherian PI Hop

Homological Aspects of Noetherian PI Hopf Algebras and Irreducible Modules of Maximal Dimension

✍ K.A. Brown; K.R. Goodearl 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 314 KB

We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c