弱entwining结构的cup积

摘要

给出了弱entwining结构上同调的2种cup积,并证明了它们都是求导度为1的分次结合代数,同时证明了弱entwining结构的复形是弱comp代数,利用其结论得到了2种cup积结构的关系,推广了双代数的Gerstenhaber-Schack理论.%This paper introduces two kinds of cup products of the homological over a weak entwining structure, and proves that they are both graded associative algebras of degree 1.Then, we state that complexes of weak entwining structures are weak comp algebras, which obtains the relations of the two cup products.And, the classical Gerstenhaber-Schack theory is extended.