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Comodules and Contramodules Over Coalgebras Associated with Locally Finite Categories by Positselski, Leonid is a scholarly article available to read on EtoBox.

What is Comodules and Contramodules Over Coalgebras Associated with Locally Finite Categories about?

We explain how to attach a coalgebra $\mathcal C$ over a field $k$ to a small $k$-linear category $\mathsf E$ satisfying suitable finiteness conditions. In this context, we study full-and-faithfulness of the contramodule forgetful functor, and describe explicitly the categories of locally finite left $\mathcal C$-comodules and left $\mathcal C$-contramodules as certain full subcategories of the category of left $\mathsf E$-modules.

Author

Positselski, Leonid

Published

2023

Language

EN