Abstract
Filtered chain categories C(s, R) of modules over a commutative artinian uniserial ring R and their representation types are studied in the paper. A tame-wild dichotomy theorem is proved in case R is a finite dimensional K-algebra over an algebraically closed field K. The pairs (s, R) for which C(s, R) is of finite representation type are determined. In case R = K[t]/(t m ) and K is algebraically closed, the pairs (s,m) for which C(s,R) is of tame representation type are listed. The problem is reduced to the study of categories of subprojective representations of posets over uniserial algebras and then to representations of posets over a field by applying a Galois covering functor technique.
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