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math.CT2026
Exact sequences of rt-categories
Menggao Li, Gongxiang Liu
Our aim is to consider what the exact sequence for rt-categories is. For this, we introduce the notion of exact sequence of rt-categories, modeled on exact sequences of finite tens…
math.CT2024
Quotient Category of a Multiring Category
Zhenbang Zuo, Gongxiang Liu
The aim of this paper is to introduce a tensor structure for the Serre quotient category of an abelian monoidal category with biexact tensor product to make the canonical functor a…
math.CT2013★ 11 cited
On Braided Linear Gr-categories
Hua-Lin Huang, Gongxiang Liu, Yu Ye
We provide explicit and unified formulae for the normalized 3-cocycles on arbitrary finite abelian groups. As an application, we compute all the braided monoidal structures on line…