Freeness Theorems for Operads via Gröbner Bases

Dotsenko, Vladimir (2009) Freeness Theorems for Operads via Gröbner Bases. (Preprint)

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Abstract

We show how to use Gröbner bases for operads to prove various freeness theorems: freeness of certain operads as nonsymmetric operads, freeness of an operad L as a P-module for an inclusion P → L, freeness of a suboperad. This gives new proofs of many known results of this type and helps to prove some new results.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:47
Last Modified: 13 Jul 2018 11:10
URI: http://dair.dias.ie/id/eprint/513

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