Mawei Wu

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math.RT2026

Pseudoskew category algebras and modules over representations of small categories

Mawei Wu

Let $C$ be a small category and let $R$ be a representation of the category $C$ , that is, a pseudofunctor from a small category to the category of small pread…

math.RT2025

Extension category algebras and LHS--spectral sequences

Mawei Wu

Let $C$ be a small category, $A$ be a precosheaf of unital $k$ -algebras on $C$ and $M$ be an $A$ -bimodule. We introduce two new…

math.RT2025

Torsion pairs in categories of modules on ringed finite sites

Mawei Wu

Let $C$ be a small category. In this paper, we mainly study the category of modules $\mathfrak{M}\mbox{od-}\mathfrak{R}$ on ringed sites $(C, R)$ . We f…

math.RT2025

Non-abelianess of the category of modules over a sum-id bipresheaf of rings

Mawei Wu

Let $C$ be a small category, motivated by the definition of bisheaves of abelian groups of MacPherson and Patel (see the Definition 5.1 of the paper: R. MacPherson and A.…