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A finite dimensional algebra with infinite delooping level

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arxiv 2305.09109 v1 pith:G3U7UZKT submitted 2023-05-16 math.RT math.RA

Luke Kershaw , Jeremy Rickard This is my paper · ORCID
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keywords algebradeloopingdimensionalexamplefiniteinfinitelevelgive
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We give an example of a finite dimensional algebra with infinite delooping level, based on an example of a semi-Gorenstein-projective module due to Ringel and Zhang.

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Cited by 1 Pith paper

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  1. Homological Invariants of Left and Right Serial Path Algebras

    math.RT 2025-06 conditional novelty 6.0 of 10

    In right serial path algebras the left delooping level equals the right finitistic dimension; left serial algebras need an extra condition, with a counterexample where the derived delooping level does better.

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