English

Koszulity of algebras with non-pure resolutions

Rings and Algebras 2008-04-24 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.0803.4231,
  title  = {Koszulity of algebras with non-pure resolutions},
  author = {Di-Ming Lu and Jun-Ru Si},
  journal= {arXiv preprint arXiv:0803.4231},
  year   = {2008}
}

Comments

17 pages

R2 v1 2026-06-21T10:25:36.566Z