Weak Crossed Biproducts and Weak Projections

Details Weak Crossed Biproducts and Weak Projections Weak Crossed Biproducts and Weak Projections

2009-06-09

arxiv.org/abs/0906.1693v2

Mathematics

Quantum Algebra

Scientific paper

We present the universal theory of weak crossed biproducts, and we prove that
every weak projection of weak bialgebras induces an example of this crossed
structure. As an example, we give the construction of a weak projection of a
weak bialgebra associated to a groupoid that admits an exact factorization.

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