编织$Ann$ -范畴的上同调分类
Cohomological classification of braided $Ann$-categories
摘要：
编织$Ann$范畴$\mathcal A$是一个$Ann$范畴$\mathcal A$和一个编织$c$使得$(\mathcal A, \otimes, a, c, (1,l,r))$是一个编织张量范畴，而且$c$与分布性约束相容.根据结构迁移定理，证明了每个辫子$Ann$ -范畴等价于一个$(R,M)$型辫子$Ann$ -范畴，从而给出了利用交换环的上同调证明辫子$Ann$ -范畴的分类定理.
英文摘要：
A braided $Ann$-category $\mathcal A$ is an $Ann$-category $\mathcal A$ together with a braiding $c$ such that $(\mathcal A, \otimes, a, c, (1,l,r))$ is a braided tensor category, moreover $c$ is compatible with the distributivity constraints. According to the structure transport theorem, the paper shows that each braided $Ann$-category is equivalent to a braided $Ann$-category of the type $(R,M)$, hence the proof of the classification theorem for braided $Ann$-categories by the cohomology of commutative rings is presented.
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。
