Freeness theorems for operads via Gr\"obner bases
Rings and Algebras
2010-01-20 v3
Abstract
We show how to use Groebner bases for operads to prove various freeness theorems: freeness of certain operads as nonsymmetric operads, freeness of an operad Q as a P-module for an inclusion P into Q, freeness of a suboperad. This gives new proofs of many known results of this type and helps to prove some new results.
Keywords
Cite
@article{arxiv.0907.4958,
title = {Freeness theorems for operads via Gr\"obner bases},
author = {Vladimir Dotsenko},
journal= {arXiv preprint arXiv:0907.4958},
year = {2010}
}
Comments
15 pages, no figures, corrected typos and changed in parts the structure of the paper