Koszulity of algebras with non-pure resolutions

Details Koszulity of algebras with non-pure resolutions Koszulity of algebras with non-pure resolutions

2008-03-29

arxiv.org/abs/0803.4231v2

Mathematics

Rings and Algebras

17 pages

Scientific paper

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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