Commutative algebras of rational function matrices as endomorphisms of Kronecker modules. I.
A Kronecker module is a pair of modules \(U\) and \(V\) together with two homomorphisms from \(U\) to \(V\). The authors study the endomorphism algebras of indecomposable Kronecker modules over an algebraically closed field \(K\) which are extensions of finite dimensional torsion-free rank 1 modules by infinite dimensional torsion-free rank 1 modules. The infinite dimensional rank 1 module in the extension is characterized by a height function, a function which maps the elements of \(K\) and infinity to a non-negative integer or infinity. The authors describe the endomorphism algebras of all the indecomposable modules depending on how the height function looks like.
scientific article; zbMATH DE number 2005992