nLab commutative monoid operad




The commutative operad is the operad whose algebras over an operad are commutative monoids in the ambient enriching category, hence the commutative algebras if interpreted in vector spaces and the differential graded-commutative algebras if interpreted in chain complexes.

Its cofibrant resolutions in the model structure on operads are E-infinity operads? whose algebras are E-infinity algebras.


Last revised on December 5, 2017 at 16:26:30. See the history of this page for a list of all contributions to it.