We show that many noetherian Hopf algebras A have a rigid dualising complex R with R≅
A1ν [d]. Here, d is the injective dimension of the algebra and ν is a certain k-algebra …

A ring with an Auslander dualizing complex is a generalization of an Auslander–Gorenstein
ring. We show that many results which hold for Auslander–Gorenstein rings also hold in the …

We prove that the canonical dimension of a coadmissible representation of a semisimple p-
adic Lie group in a p-adic Banach space is either zero or at least half the dimension of a …

We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

A ring has bounded factorizations if every cancellative nonunit a∈ R can be written as a
product of atoms and there is a bound λ (a) on the lengths of such factorizations. The …

Ring-Theoretic Properties of Iwasawa Algebras: A Survey1 Page 1 Documenta Math. 7 Ring-Theoretic
Properties of Iwasawa Algebras: A Survey1 K. Ardakov and KA Brown Received: November 7 …

We develop a duality theory for admissible smooth representations of p-adic Lie groups on
vector spaces over fields of characteristic p. To this end we introduce certain higher smooth …

Noetherian PI Hopf Algebras Are Gorenstein Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 355, Number 3, Pages 1043-1066 S 0002-9947(02)03106-9 …

Pertinency of Hopf actions and quotient categories of Cohen–Macaulay algebras Page 1 J.
Noncommut. Geom. 13 (2019), 667–710 DOI 10.4171/JNCG/336 Journal of Noncommutative …

Let F be a locally compact nonarchimedean field with residue characteristic p and G the
group of F-rational points of a connected split reductive group over F. We define a torsion …