3 papers
math.AG2024
Maps between schematic semi-graded rings
Andrés Chacón, María Camila Ramírez, Armando Reyes
Motivated by Smith's work \cite{Smith2003, Smith2016} on maps between non-commu\-tative projective spaces of the form in the setting of non-commutative projecti…
math.AG2023
Noncommutative scheme theory and the Serre-Artin-Zhang-Verevkin theorem for semi-graded rings
Andrés Chacón, Armando Reyes
In this paper, we present a noncommutative scheme theory for the semi-graded rings generated in degree one defined by Lezama and Latorre \cite{LezamaLatorre2017} following the idea…
math.RA2022
On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings
Andrés Chacón, Sebastián Higuera, Armando Reyes
We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, -regular and clean elements for skew PBW extensions over weak compatib…