… In the second chapter we present general theory of rigid analytic varieties and D-modules,
and we introduce necessary technical tools from homological algebra. That chapter contains …

… allow to get the dimension formulas for the irreducible representations in the general case.
Before we proceed to our results on dimensions and K0-classes of the simple modules, let us …

… As an application, we provide a combinatorial classification of the homological ring …
We call a finitely generated A-module M τ-rigid, if Hom A ( M , τ M ) = 0 , where τ denotes the …

… We will now introduce (almost) rigid systems in order to characterize pureinjective cotilting
… Huisgen Zimmermann, Syzigies and homological dimensions of left serial rings, Methods in …

… algebras have been proven to be useful to treat rigidity … Hochschild cohomology, homology
and cyclic homology (see [14… In this paper we compute the dimension of H2(A,A) for A=kQ/(Z) …

… of rigid ideals or modules for general one-dimensional rings, … the trace ideal of the module
studied. These are used … I in a one-dimensional Gorenstein ring to be rigid, in terms of …

… rigid analytic varieties and relative rigid spaces. In Chapter 2 we define étale cohomology of
adic spaces and rigid … support for analytic adic spaces and rigid analytic varieties. All results …

… of the results on CM-dimension in Theorem 1.1 can be applied to get simple and elementary
proofs of the analogous results on other homological dimensions, see Theorem 5.2 for a …

… locally compact groups using homological methods has been recently … rigidity theory. In this
paper we shall give a few examples to illustrate how this theory can be used to obtain rigidity …