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Hall polynomials and the Gabriel–Roiter submodules of simple homogeneous modules

Hall polynomials and the Gabriel–Roiter submodules of simple homogeneous modules

Let be an arbitrary field and be an acyclic quiver of tame type (that is, of type ). Consider the path algebra , the category of finite‐dimensional right modules , and the minimal positive imaginary root of , denoted by . In the first part of the paper, we deduce …