Abstract
Let k be an algebraically closed field and Λ=kQ be a path algebra for a tame quiver Q (of type A˜n, D˜n, E˜6, E˜7 or E˜8). The GR segments, i.e., the sequences of Gabriel–Roiter measures which are closed under direct predecessors and successors, will be studied. An upper bound of the number of the GR-segments will be given.
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