On a class of Koszul algebras associated to directed graphs

Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In [I. Gelfand, V. Retakh, S. Serconek, R.L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. (N.S.) 11 (2005), math.QA/0506507] I. Gelfand and the authors of this paper introduced a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered graphs.

Original languageEnglish (US)
Pages (from-to)1114-1129
Number of pages16
JournalJournal of Algebra
Volume304
Issue number2
DOIs
StatePublished - Oct 15 2006

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Directed graphs
  • Koszul algebras

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