Geometric aspects of finite dimensional algebras: Uniserial representations

Ahmad Mojiri
K. Bongartz and B. Huisgen-Zimmermann studied uniserial modules over finite dimensional algebras. Given a path p ∉ I, they associate to it an affine variety Vp which parameterizes the uniserial modules with mast p. This variety can be calculated algorithmically. It is here shown that these varieties characterize the monomia algebras. An open problem asks for an invariant characterization of algebras isomorphic to monomial algebras. We obtain an algorithmic solution for the open problem for...
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