Weak crossed biproducts and weak projections

作     者：FERNNDEZ VILABOA Jose Manuel GONZLEZ RODRíGUEZ Ramon RODRíGUEZ RAPOSO Ana Belen 

作者机构：Departamento de lxebra Universidad de Santiago de Compostela Departamento de Matemtica Aplicada II Universidade de Vigo Departamento de Matemticas Universidade da Coruna 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2012年第55卷第7期

页      面：1321-1352页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Xunta de Galicia (Grant No. PGIDT07PXB322079PR) Ministerio de Educación (Grant Nos. MTM2007-62427, MTM2006-14908-CO2-01) FEDER 

主　　题：braided monoidal category preunit crossed product weak Hopf algebra weak projection weakcrossed biproduct 

摘      要：In this paper, we present the general theory and universal properties of weak crossed biproducts. We prove that every weak projection of weak bialgebras induces one of these weak crossed structures. Finally, we compute explicitly the weak crossed biproduct associated with a groupoid that admits an exact factorization.