On Limits and Colimits Of Comodules over a Coalgebra in a Tensor Category
Anton Lyubinin
TL;DR
This paper investigates the conditions under which the category of comodules over a coalgebra in a tensor category possesses limits and colimits, extending the understanding of categorical properties in algebraic structures.
Contribution
It establishes that the category of comodules has limits and colimits under certain assumptions in a complete, cocomplete, and well-powered setting.
Findings
Comodules category has limits and colimits under additional assumptions.
Provides conditions for existence of limits and colimits in comodules.
Extends categorical understanding of comodules over coalgebras.
Abstract
We show that the category of comodules over a coassociative coalgebra in a complete, cocomplete and well-powered category has limits and colimits under additional assumptions.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra