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math.CO2023
Two associative operads of packed words
Samuele Giraudo, Yannic Vargas
The associative operad is a central structure in operad theory, defined on the linear span of the set of permutations. We build two analogs of the associative operad on the linear…
math.CO2023
On the free commutative monoid over a positive operad
Dominique Manchon, Hedi Regeiba, Imen Rjaiba +1
We study algebraic structures on the free commutative twisted algebra generated by a positive operad , in the framework of vector species. Given a nonunital commutative…