%0 Journal Article
%T The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras
%A M. C. Iovanov
%A Constantin Nastasescu
%A Blas Torrecillas-Jover
%J Mathematics
%D 2011
%I arXiv
%X Let $A$ be a pseudocompact (or profinite) algebra, so $A=C^*$ where $C$ is a coalgebra. We show that the if the semiartinian part (the "Dickson" part) of every $A$-module $M$ splits off in $M$, then $A$ is semiartinian, also giving a positive answer in the case of algebras arising as dual of coalgebras (pseudocompact algebras), to a well known conjecture of Faith.
%U http://arxiv.org/abs/1109.4210v1