Gröbner bases for coloured operads

Vladislav Kharitonov, Anton Khoroshkin

Research output: Contribution to journalArticlepeer-review


In this work, we develop the machinery of Gröbner bases for coloured operads, which allows us to establish a useful criterion of Koszulness of a coloured operad. Among the examples for which we show the existence of a quadratic Gröbner basis, we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).

Original languageAmerican English
Pages (from-to)203-241
Number of pages39
JournalAnnali di Matematica Pura ed Applicata
Issue number1
StatePublished - Feb 2022
Externally publishedYes


  • Coloured operads
  • Grobner bases
  • Lie-Rinnehart algebras

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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