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On the monomorphism category of large modules

2025/04/10 by Hafezi, Rasool, Asadollahi, Javad, Vahed, Razieh +1
#16D90 #16G70 #18A25 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.07662

Abstract

Let R be an associative ring with identity. This paper investigates the structure of the monomorphism category of large R-modules and establishes connections with the category of contravariant functors defined on finitely presented R-modules. Several equivalences and dualities will be presented. Our results highlight the role of pure-injective modules in studying the homological properties of functor categories.

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