English

Weak Crossed Biproducts and Weak Projections

Quantum Algebra 2009-10-30 v2 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.0906.1693,
  title  = {Weak Crossed Biproducts and Weak Projections},
  author = {J. M. Fernández Vilaboa and R. González Rodríguez and A. B. Rodríguez Raposo},
  journal= {arXiv preprint arXiv:0906.1693},
  year   = {2009}
}
R2 v1 2026-06-21T13:11:20.745Z