English

On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals

Rings and Algebras 2025-04-17 v1

Abstract

We describe the endomorphism rings in an additive category whose objects are right RR-modules MM with a fixed chain of submodules 0=M(0)M(1)M(2)M(n)=M0=M^{(0)}\leq M^{(1)}\leq M^{(2)} \leq \dots \leq M^{(n)}=M and the behaviour of these objects as far as their direct sums are concerned.

Keywords

Cite

@article{arxiv.2504.12155,
  title  = {On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals},
  author = {Federico Campanini},
  journal= {arXiv preprint arXiv:2504.12155},
  year   = {2025}
}