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arXiv · 1302.6763

Modules with irrational slope over tubular algebras

Richard Harland·Mike Prest
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Abstract

Let $A$ be a tubular algebra and let $r$ be a positive irrational. Let ${\mathcal D}_r$ be the definable subcategory of $A$-modules of slope $r$. Then the width of the lattice of pp formulas for ${\mathcal D}_r$ is $\infty$. It follows that if $A$ is countable then there is a superdecomposable pure-injective module of slope $r$.

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Richard Harland, Mike Prest. 2013-02-27. Modules with irrational slope over tubular algebras. https://doi.org/10.1112/plms%2Fpdu068

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