Factorization systems induced by weak distributive laws

Details Factorization systems induced by weak distributive laws Factorization systems induced by weak distributive laws

2010-09-03

arxiv.org/abs/1009.0732v1

Mathematics

Category Theory

22 pages LaTeX2e amsart

Scientific paper

We relate weak distributive laws in SetMat to strictly associative (but not
strictly unital) pseudoalgebras of the 2-monad (-)^2 on Cat. The corresponding
orthogonal factorization systems are characterized by a certain bilinearity
property.

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