Are operads algebraic theories?

Details Are operads algebraic theories? Are operads algebraic theories?

2004-04-01

arxiv.org/abs/math/0404016v1

Bulletin of the London Mathematical Society 38 (2006), 233-238

Mathematics

Category Theory

6 pages

Scientific paper

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

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