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paper

Localization in tame and wild coalgebras

arXiv:math/0701340

Abstract

We apply the theory of localization for tame and wild coalgebras in order to prove the following theorem: "Let Q be an acyclic quiver. Then any tame admissible subcoalgebra of KQ is the path coalgebra of a quiver with relations".

23 pages, to appear in Journal of Pure and Applied Algebra