The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras

M. C. Iovanov, Constantin Nastasescu, Blas Torrecillas-Jover

Let $A$ be a pseudocompact (or profinite) algebra, so $A=C^{\ast }$ where $C$ is a coalgebra. We show that the if the semiartinian part (the "Dickson" part) of every $A$-module $M$ split…