Title: Pure-Injective Modules over Tubular Algebras and String Algebras
Abstract: We show that, for any tubular algebra, the lattice of pp-definable subgroups of the direct sum of indecomposable pure-injective modules of slope r has m-dimension 2 if r is rational, and undefined breadth if r is irrational- and hence that there are no superdecomposable pure-injectives of rational slope, but there are superdecomposable pure-injectives of irrational slope, if the underlying field is countable.We determine the pure-injective hull of every direct sum string module over a string algebra. If A is a domestic string algebra such that the width of the lattice of pp-formulas has defined breadth, then classify almost all of the pure-injective indecomposable A-modules.
Publication Year: 2011
Publication Date: 2011-02-09
Language: en
Type: dissertation
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Cited By Count: 21
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