Current browse context:
math.CT
Change to browse by:
References & Citations
Mathematics > Category Theory
Title: Costability of Comodules
(Submitted on 11 Apr 2024 (v1), last revised 15 Apr 2024 (this version, v2))
Abstract: Given a ring $R$, we have a classical result stating that the ordinary category of modules is the abelianization of the category of augmented $R$-algebras. Analogously, using the framework of infinity categories and higher algebra, Francis showed that the infinity category of $R$-modules is the {\em stabilization} of the infinity category of augmented $R$-algebras. In this work we show a dual result for coalgebras over a cooperad $Q$: namely that given a coalgebra $C$, comodules over $C$ are the costabilization of coalgebras over $C$, which is the universal stable category with a finite colimit preserving functor to coalgebras over $C$.
Submission history
From: Fei Yu Chen [view email][v1] Thu, 11 Apr 2024 18:52:02 GMT (39kb)
[v2] Mon, 15 Apr 2024 17:42:27 GMT (39kb)
Link back to: arXiv, form interface, contact.