Before the modern theory of operads was (re)invented there was a variant introduced earlier in

  • M. Lazard, Lois de groupes et analyseurs, Ann. École Norm. Sup. 72 (1955), pp. 299–400.

under the name analyser which is often even nowdays referred by its original French version analyseur.

There is a generalization motivated by some questions in noncommutative algebra, the pseudoanalyser:

  • Ralf Holtkamp, A pseudo-analyzer approach to formal group laws not of operad type, Journal of Algebra 237, 1, 2001, p. 382-405, doi

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