English

Distinguished classes of ideal spaces and their topological properties

Commutative Algebra 2024-08-21 v2 Rings and Algebras

Abstract

We consider the set of all the ideals of a ring, endowed with the coarse lower topology. The aim of this paper is to study the topological properties of distinguished subspaces of this space and detect the spectrality of some of them.

Keywords

Cite

@article{arxiv.2209.12960,
  title  = {Distinguished classes of ideal spaces and their topological properties},
  author = {Carmelo A. Finocchiaro and Amartya Goswami and Dario Spirito},
  journal= {arXiv preprint arXiv:2209.12960},
  year   = {2024}
}