English

Absorbing ideals: a survey on $\omega$-stable groups

Commutative Algebra 2024-01-24 v1

Abstract

We introduce a new concept in the Absorbing Ideal Theory in commutative rings, that is, the ω\omega-stable groups. We will provide examples and non-examples of these groups, and establish their relationship with H-congruence. Ultimately, we will study the action of these groups considering the transitivity condition

Keywords

Cite

@article{arxiv.2401.12766,
  title  = {Absorbing ideals: a survey on $\omega$-stable groups},
  author = {Bruno Moreira Fernandes},
  journal= {arXiv preprint arXiv:2401.12766},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-28T14:24:43.438Z