Distinguished classes of ideal spaces and their topological properties
Carmelo A. Finocchiaro, Amartya Goswami, and Dario Spirito
TL;DR
This paper explores the topological properties of spaces formed by ideals of a ring, focusing on subspaces and their spectrality, to deepen understanding of their structure and classification.
Contribution
It introduces a detailed analysis of the topological characteristics of ideal spaces and identifies conditions under which certain subspaces are spectral.
Findings
Identification of spectral subspaces within ideal spaces
Characterization of topological properties of distinguished ideal subspaces
Insights into the structure of ideal spaces with coarse lower topology
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Commutative Algebra and Its Applications