101 citations · 968 across the 80 of their papers we have counts for
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math.KT2009★ 10 cited
Free resolutions via Gröbner bases
Vladimir Dotsenko, Anton Khoroshkin
For associative algebras in many different categories, it is possible to develop the machinery of Gröbner bases. A Gröbner basis of defining relations for an algebra of such a cate…
cs.SC2009★ 9 cited
Implementing Gröbner bases for operads
Vladimir Dotsenko, Mikael Vejdemo-Johansson
We present an implementation of the algorithm for computing Groebner bases for operads due to the first author and A. Khoroshkin. We discuss the actual algorithms, the choices made…
math.RA2009★ 8 cited
Freeness theorems for operads via Gröbner bases
Vladimir Dotsenko
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…