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- W3100542400 abstract "The associative operad is the quotient of the magmatic operad by the operad congruence identifying the two binary trees of degree $2$. We introduce here a generalization of the associative operad depending on a nonnegative integer $d$, called $d$-comb associative operad, as the quotient of the magmatic operad by the operad congruence identifying the left and the right comb binary trees of degree $d$. We study the case $d = 3$ and provide an orientation of its space of relations by using rewrite systems on trees and the Buchberger algorithm for operads to obtain a convergent rewrite system." @default.
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- W3100542400 date "2018-05-18" @default.
- W3100542400 modified "2023-09-23" @default.
- W3100542400 title "Generalizations of the associative operad and convergent rewrite systems" @default.
- W3100542400 doi "https://doi.org/10.29007/mfnh" @default.
- W3100542400 hasPublicationYear "2018" @default.
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