A topological study in the set of zero-dimensional subrings of a commutative ring
Year: 2024
Type: article
Abstract: We investigate the relationship between the space $\mathcal{Z}(R,T)$, defined as the largest closed subset of a ring $T$ with respect to a countable topology, and the classical prime spectrum ${\rm Spect}(R)$ of a subring $R$. We explore the topological properties of $\mathcal{Z}(R,T)$ and establish connections with ${\rm Spect}(R)$ under certain conditions.
Source: Mathematica Bohemica
Authors: Hassan Mouadi, Driss Karim
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404998032