%0 Journal Article
%T Good Reduction of Good Filtrations at Places
%A Toukaiddine Petit
%A Freddy Van Oystaeyen
%J Mathematics
%D 2004
%I arXiv
%X We consider filtered or graded algebras $A$ over a field $K$. Assume that there is a discrete valuation $O_v$ of $K$ with $m_v$ its maximal ideal and $k_v:=O_v/m_v$ its residue field. Let $\Lambda$ be $O_v$-order such that $\Lambda K=A$ and $\bar{\Lambda}:=k_v\otimes_{O_v}\Lambda$ the $\Lambda$-reduction of $A$ at the place $K\leadsto k_v$. Using the filtration of $A$ induced by $\Lambda$ we shall prove that for certain algebras $A$ their properties are related to $\bar{\Lambda}$.
%U http://arxiv.org/abs/math/0411364v2