Abstract

Associative rings A, B are called Morita equivalent when the categories of left modules over them are equivalent. We call two classical linear operads P, Q Morita equivalent if the categories of algebras over them are equivalent. We transport a part of Morita theory to the operadic context by studying modules over operads. As an application of this philosophy, we consider an operadic version of the sheaf of linear differential operators on a (super)manifold M and give a comparison theorem between algebras over this sheaf on M and Mred.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 811-838
Launched on MUSE
2001-10-01
Open Access
No
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