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arXiv · 0803.4231

Koszulity of algebras with non-pure resolutions

Di-Ming Lu·Jun-Ru Si
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Abstract

We discuss certain homological properties of graded algebras whose trivial modules admit non-pure resolutions. Such algebras include both of Artin-Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with non-pure resolution is decomposed to form an extension by two modules with pure resolutions.

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Di-Ming Lu, Jun-Ru Si. 2008-04-24. Koszulity of algebras with non-pure resolutions. https://arxiv.org/abs/0803.4231

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