Are operads algebraic theories?

Leinster, T. (2006) Are operads algebraic theories? Bulletin of the London Mathematical Society, 38(2), pp. 233-238. (doi: 10.1112/S002460930601825X)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Leinster, Dr Tom
• Authors: Leinster, T.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Bulletin of the London Mathematical Society
• ISSN: 0024-6093
• ISSN (Online): 1469-2120
• Published Online: 16 March 2006

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