Definition of "operad" [operad]

• A set of operations, each one having a fixed finite number of arguments and one output, which can be composed with others. (noun)

Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License

• "Indeed, what we end up doing is forming the overlaps between leading terms by finding trees that parts of the trees from the leading terms from pairs of operad elements can embed into, and using the resulting procedure to build the same kind of bad cases we need to test for Buchberger's algorithm."
• "The resulting construction is the free operad on the generating set and takes the role that the polynomial ring had in the previous examples."
• "Furthermore, an operad O = {O (n)} has defined on it structure operations."