Freeness theorems for operads via Gröbner bases

Details Freeness theorems for operads via Gröbner bases Freeness theorems for operads via Gröbner bases

2009-07-28

arxiv.org/abs/0907.4958v3

Mathematics

Rings and Algebras

15 pages, no figures, corrected typos and changed in parts the structure of the paper

Scientific paper

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.

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