弱交叉双积与弱投影
Weak Crossed Biproducts and Weak Projections
摘要：
给出了弱交叉双积的泛理论，证明了弱双代数的每一个弱投影都导出了这种交叉结构的一个例子。作为一个例子，我们给出了一个弱双代数的弱投影的构造，它与一个允许精确因子分解的广群相关联。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
