Abstract
We relate weak distributive laws in the bicategory of spans 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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Böhm, G. Factorization Systems Induced by Weak Distributive Laws. Appl Categor Struct 20, 275–302 (2012). https://doi.org/10.1007/s10485-010-9243-y
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DOI: https://doi.org/10.1007/s10485-010-9243-y