Výsledky vyhledávání - "Chacon, Andres"

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Maps between schematic semi-graded rings

Autor: Chacón, Andrés, Ramírez, María Camila, Reyes, Armando

Motivated by Smith's work \cite{Smith2003, Smith2016} on maps between non-commu\-tative projective spaces of the form ${\rm Proj}_{nc} A$ in the setting of non-commutative projective geometry developed by Rosenberg and Van den Bergh, and the notion o

Externí odkaz: http://arxiv.org/abs/2401.15631

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Noncommutative scheme theory and the Serre-Artin-Zhang-Verevkin theorem for semi-graded rings

Autor: Chacón, Andrés, Reyes, Armando

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 ideas about schematicness introduced by Van Oystaeyen and Willaert \cite{V

Externí odkaz: http://arxiv.org/abs/2301.07815

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On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings

Autor: Chacón, Andrés, Higuera, Sebastián, Reyes, Armando

We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, $\pi$-regular and clean elements for skew PBW extensions over weak compatible rings. We also study the notions of Gelfand and Harmonic rings fo

Externí odkaz: http://arxiv.org/abs/2212.09601

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On NI and NJ skew PBW extensions

Autor: Suárez, Héctor, Chacón, Andrés, Reyes, Armando

We establish necessary or sufficient conditions to guarantee that skew Poincar\'e-Birkhoff-Witt extensions are NI or NJ rings. Our results extend those corresponding for skew polynomial rings and establish similar properties for other families of non

Externí odkaz: http://arxiv.org/abs/2106.09793

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