Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decomposed as a direct sum of interval modules and that every upper semi-continuous q-tame persistence module can be decomposed as a product of interval modules.
Decomposition of pointwise finite-dimensional persistence modules
Clannish algebras are of amenable representation type
Projective objects in the category of locally finite dimensional representations of an interval finite quiver
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