Year: 2025
Type: article
Abstract: In this article, we prove that an n × n matrix A is nilpotent if and only if there exists an affine primal topology τ for such that the space is both compact and connected. For τ being an affine primal topology, we mean that , where is a map defined by f ( x ) = A x + p , with .
DOI: 10.1155/ijmm/5191108
Authors: Ebner Pineda, Luis Mejías, Jorge Vielma
Institution: Escuela Superior Politecnica del Litoral
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,240
OpenAlex ID: W4409586966