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Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories
September 23-28, 2002
Fields Institute
Toronto, ON, Canada

Organizers
George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich, Walter Tholen, York University

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On injective objects and algebras of a monad
by
Lurdes Sousa

For A an injective object in a enough well-behaved category, the dual of the limit closure of A, Lop, is equivalent to a full reflective subcategory of the category of algebras of the monad induced by the functor mboxhom(-, A); and this is illustrated with a variety of examples. Moreover, assumptions under which Lop is monadic are given. It is also studied when the algebras of a monad are described as injective objects.

Date received: May 16, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajf-17.