Distinguished classes of ideal spaces and their topological properties

Carmelo A. Finocchiaro; Amartya Goswami; Dario Spirito

doi:10.1080/00927872.2022.2141767

Distinguished classes of ideal spaces and their topological properties

Carmelo A. Finocchiaro, Amartya Goswami, Dario Spirito

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 topological properties of distinguished subspaces of this space and detect the spectrality of some of them.

Original language	English
Pages (from-to)	1752-1760
Number of pages	9
Journal	Communications in Algebra
Volume	51
Issue number	4
DOIs	https://doi.org/10.1080/00927872.2022.2141767
Publication status	Published - 2023

Keywords

Coarse lower topology
finitely generated ideal
nilpotent ideal
primary ideal
quasi-compactness
regular ideal
sobriety
spectral space

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2022.2141767

Cite this

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title = "Distinguished classes of ideal spaces and their topological properties",

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 topological properties of distinguished subspaces of this space and detect the spectrality of some of them.",

keywords = "Coarse lower topology, finitely generated ideal, nilpotent ideal, primary ideal, quasi-compactness, regular ideal, sobriety, spectral space",

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T1 - Distinguished classes of ideal spaces and their topological properties

AU - Finocchiaro, Carmelo A.

AU - Goswami, Amartya

AU - Spirito, Dario

PY - 2023

Y1 - 2023

N2 - 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 topological properties of distinguished subspaces of this space and detect the spectrality of some of them.

AB - 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 topological properties of distinguished subspaces of this space and detect the spectrality of some of them.

KW - Coarse lower topology

KW - finitely generated ideal

KW - nilpotent ideal

KW - primary ideal

KW - quasi-compactness

KW - regular ideal

KW - sobriety

KW - spectral space

UR - https://www.scopus.com/pages/publications/85142000239

U2 - 10.1080/00927872.2022.2141767

DO - 10.1080/00927872.2022.2141767

M3 - Article

AN - SCOPUS:85142000239

SN - 0092-7872

VL - 51

SP - 1752

EP - 1760

JO - Communications in Algebra

JF - Communications in Algebra

IS - 4

ER -

Distinguished classes of ideal spaces and their topological properties

Abstract

Keywords

ASJC Scopus subject areas

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