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- W1532930627 abstract "Let $Q$ be a tame quiver of type $widetilde{mathbb{A}}_n$ and $Rep(Q)$ the category of finite dimensional representations over an algebraically closed field. A representation is simply called a module. It will be shown that a regular string module has, up to isomorphism, at most two Gabriel-Roiter submodules. The quivers $Q$ with sink-source orientations will be characterized as those, whose central parts do not contain preinjective modules. It will also be shown that there are only finitely many (central) Gabriel-Roiter measures admitting no direct predecessors. This fact will be generalized for all tame quivers." @default.
- W1532930627 created "2016-06-24" @default.
- W1532930627 creator A5067483347 @default.
- W1532930627 date "2009-09-30" @default.
- W1532930627 modified "2023-10-17" @default.
- W1532930627 title "The Gabriel-Roiter measure for $widetilde{mathbb{A}}_n$ II" @default.
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- W1532930627 doi "https://doi.org/10.48550/arxiv.0909.5594" @default.
- W1532930627 hasPublicationYear "2009" @default.
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