Factorization systems induced by weak distributive laws
classification
🧮 math.CT
keywords
distributivefactorizationlawsstrictlysystemsweakassociativebilinearity
read the original abstract
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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