On the monomorphism category of large modules

Rasool Hafezi; Javad Asadollahi; Razieh Vahed; Yi Zhang

On the monomorphism category of large modules

Representation Theory 2025-04-11 v1

Authors: Rasool Hafezi , Javad Asadollahi , Razieh Vahed , Yi Zhang

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.

Keywords

module categories module theory functors in category theory

Cite

@article{arxiv.2504.07662,
  title  = {On the monomorphism category of large modules},
  author = {Rasool Hafezi and Javad Asadollahi and Razieh Vahed and Yi Zhang},
  journal= {arXiv preprint arXiv:2504.07662},
  year   = {2025}
}

Comments

Comments are welcome

On the monomorphism category of large modules

Abstract

Keywords

Cite

Comments

Related papers