4 papers · 1 filter
Distinguished classes of ideal spaces and their topological properties
Carmelo A. Finocchiaro, Amartya Goswami, Dario Spirito
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…
Proper spaces are spectral
Amartya Goswami
Since Hochster's work, spectral spaces have attracted increasing interest. Through this note we intend to show that the set of proper ideals of a ring endowed with coarse lower top…
Ideal spaces: An extension of structure spaces of rings
Themba Dube, Amartya Goswami
Can there be a structure space-type theory for an arbitrary class of ideals of a ring? The ideal spaces introduced in this paper allows such a study and our theory includes (but no…
A Zariski-like topology on the ideal spectrum of a ring
Amartya Goswami
The purpose of this paper is to introduce a Zariski-like topology on the spectrum of all proper ideals of a ring. We show that the space is T_0, quasi-compact, and every irreducibl…