How many Adjunctions give Rise to the same Monad?

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How many Adjunctions give Rise to the same Monad?

Given an adjoint pair of functors F,G, the composite GF naturally gets the structure of a monad. The same monad may arise from many such adjoint pairs of functors, however. Can one describe all of the adjunctions giving rise to a given monad? In this paper we single out a class of adjunctions with especially good properties, and we develop methods for computing all such adjunctions, up to natur...

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ژورنال

عنوان ژورنال: Applied Categorical Structures

سال: 2016

ISSN: 0927-2852,1572-9095

DOI: 10.1007/s10485-016-9473-8