# Bilinear factorization of algebras

@article{Bhm2011BilinearFO, title={Bilinear factorization of algebras}, author={G. B{\`o}hm and J. G'omez-Torrecillas}, journal={Bulletin of The Belgian Mathematical Society-simon Stevin}, year={2011}, volume={20}, pages={221-244} }

We study the (so-called bilinear) factorization problem answered by a weak wreath product (of monads and, more specifically, of algebras over a commutative ring) in the works by Street and by Caenepeel and De Groot. A bilinear factorization of a monad R turns out to be given by monad morphisms A → R ← B inducing a split epimorphism of B-A bimodules B ⊗ A → R. We prove a biequivalence between the bicategory of weak distributive laws and an appropriately defined bicategory of bilinear… Expand

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