%0 Journal Article
%T Modules with irrational slope over tubular algebras
%A Richard Harland
%A Mike Prest
%J Mathematics
%D 2013
%I arXiv
%R 10.1112/plms/pdu068
%X 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 $r$.
%U http://arxiv.org/abs/1302.6763v2