A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
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 .
Authors
- Ebner Pineda (ORCID: https://orcid.org/0000-0003-1159-3297)
- Jorge Vielma (ORCID: https://orcid.org/0000-0001-9620-6756)
- Luis Mejías (ORCID: https://orcid.org/0000-0001-7205-2641)
Institutions
- Escuela Superior Politecnica del Litoral (EC)
Publication Details
- Journal
- International Journal of Mathematics and Mathematical Sciences
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/ijmm/5191108
- Primary Topic
- Digital Image Processing Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00