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Simple connectedness of quasitilted algebras

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 0705.0472
Source
arXiv
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Unknown
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Abstract

Let A be a basic connected finite dimensional algebra over an algebraically closed field. Assuming that A is quasitilted, we prove that A is simply connected if and only if its first Hochschild cohomology group HH^1(A) vanishes. This generalises a result of I. Assem, F.U. Coelho and S. Trepode and which proves the same equivalence for tame quasitilted algebras.

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