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Bulletin of the London Mathematical Society (1)

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ARE OPERADS ALGEBRAIC THEORIES?
TOM LEINSTER
Journal:

Bulletin of the London Mathematical Society / Volume 38 / Issue 2 / April 2006

Published online by Cambridge University Press:

16 March 2006, pp. 233-238

Print publication:

April 2006
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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.