19 citations · 201 across the 54 of their papers we have counts for
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math.QA2019★ 3 cited
Distributive laws between the operads Lie and Com
Murray Bremner, Vladimir Dotsenko
Using methods of computer algebra, especially Gröbner bases for submodules of free modules over polynomial rings, we solve a classification problem in theory of algebraic operads:…
math.QA2016★ 4 cited
One-parameter deformations of the diassociative and dendriform operads
Murray R. Bremner
Livernet and Loday constructed a polarization of the nonsymmetric associative operad A with one operation into a symmetric operad SA with two operations (the Lie bracket and Jordan…
math.QA2015★ 9 cited
Classification of regular parametrized one-relation operads
Murray Bremner, Vladimir Dotsenko
Jean-Louis Loday introduced a class of symmetric operads generated by one bilinear operation subject to one relation making each left-normed product of three elements equal to a li…