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:	17 Dec 2022 23:10
URI:	https://dair.dias.ie/id/eprint/513

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