Distributive laws for actions of monoidal categories
Abstract
Given a monoidal category C, an ordinary category M, and a monad T in M, the lifts in a strict sense of a fixed action of C on M to an action of C on the EilenbergMoore category of Tmodules in M are in a bijective correspondence with certain families of natural transformations, indexed by the objects in the monoidal category C. These families are analogues of distributive laws between monads.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2004
 DOI:
 10.48550/arXiv.math/0406310
 arXiv:
 arXiv:math/0406310
 Bibcode:
 2004math......6310S
 Keywords:

 Category Theory;
 Quantum Algebra
 EPrint:
 13 pages