2010/12/07 by Nguyễn Tiến Quang, Nguyen Tien Quang, Quang, Nguyen Tien +2
Mathematics · #16E40 #18D10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:16E40 #msc:18D10
paper · pdf · doi:10.48550/arxiv.1012.1415
25 pages
arxiv created 2010/12/07 · openalex publication_date 2010/12/07 · arxiv updated 2010/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A braided Ann-category \mathcal A is an Ann-category \mathcal A together with a braiding c such that (\mathcal A, ⊗, 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.