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ARE OPERADS ALGEBRAIC THEORIES?

Published online by Cambridge University Press:  16 March 2006

TOM LEINSTER
TOM LEINSTER
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW, United KingdomT.Leinster@maths.gla.ac.uk
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Abstract

I exhibit a pair of non-symmetric operads that, while not themselves isomorphic, induce isomorphic monads. The existence of such a pair implies that if ‘algebraic theory’ is understood as meaning ‘monad’ then operads cannot be regarded as algebraic theories of a special kind.

Keywords

18D50 (primary)18C1018C15 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 2 , April 2006 , pp. 233 - 238
Copyright
The London Mathematical Society 2006

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