Rodríguez Raposo, Ana Belén2024-02-072024-02-072009-06-24Ana Belén Rodríguez Raposo abraposo@edu.xunta.es (2009) Crossed Products for Weak Hopf Algebras, Communications in Algebra, 37:7, 2274-2289, DOI: 10.1080/009278708026202740092-7872http://hdl.handle.net/10347/32469This is an Accepted Manuscript of an article published by Taylor & Francis inCommunications in Algebra on 2009-06-24, available at: https://doi.org/10.1080/00927870802620274Weak crossed products by a weak bialgebra are de ned. The resulting structure is not that of a unital algebra but an associative algebra with preunit. A general formula of such a product is given in terms of a weak 2-cocycle and a weak measuring. The relation with weak cleft extensions is studied. Equivalences of weak crossed products are de ned and are related to gauge transformations. A relation between cleaving maps is described in terms of gauge transformations.engAtribución-Non comercial-Sen obra derivada 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Crossed productWeak cleft extensionWeak Hopf algebras18D1016W30journal article1532-4125open access