Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Mohamed Louzari; Armando Reyes

doi:10.15446/recolma.v54n1.89788

Publicado

2020-01-01

Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Ideales primos minimales de extensiones PBW torcidas sobre anillos compatibles 2-primal

DOI:

https://doi.org/10.15446/recolma.v54n1.89788

Palabras clave:

Minimal prime ideal, 2-primal ring, unit, skew PBW extension (en)
Ideal primo minimal, anillo 2-primal, unidad, extensión PBW torcida (es)

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Autores/as

Mohamed Louzari Abdelmalek Essaadi University
Armando Reyes Universidad Nacional de Colombia

Resumen (en)
Resumen (es)

In this paper, we characterize the units of skew PBW extensions over compatible rings. With this aim, we recall the transfer of the property of being 2-primal for these extensions. As a consequence of our treatment, the results established here generalize those corresponding for commutative rings and Ore extensions of injective type. In this way, we present new results for several noncommutative rings of polynomial type not considered before in the literature.

En este artículo, caracterizamos las unidades de las extensiones PBW torcidas sobre anillos compatibles. Con este propósito, recordamos la transferencia de la propiedad 2-primal para estas extensiones. Como una consecuencia de nuestro tratamiento, los resultados establecidos aquí generalizan aquellos correspondientes para anillos conmutativos y extensiones de Ore de tipo inyectivo. De esta manera, presentamos nuevos resultados para anillos no conmutativos de tipo polinomial no considerados antes en la literatura.

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Cómo citar

APA

Louzari, M. y Reyes, A. (2020). Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. Revista Colombiana de Matemáticas, 54(1), 39–63. https://doi.org/10.15446/recolma.v54n1.89788

ACM

[1]

Louzari, M. y Reyes, A. 2020. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. Revista Colombiana de Matemáticas. 54, 1 (ene. 2020), 39–63. DOI:https://doi.org/10.15446/recolma.v54n1.89788.

ACS

(1)

Louzari, M.; Reyes, A. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. rev.colomb.mat 2020, 54, 39-63.

ABNT

LOUZARI, M.; REYES, A. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. Revista Colombiana de Matemáticas, [S. l.], v. 54, n. 1, p. 39–63, 2020. DOI: 10.15446/recolma.v54n1.89788. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/89788. Acesso em: 28 may. 2024.

Chicago

Louzari, Mohamed, y Armando Reyes. 2020. «Minimal prime ideals of skew PBW extensions over 2-primal compatible rings». Revista Colombiana De Matemáticas 54 (1):39-63. https://doi.org/10.15446/recolma.v54n1.89788.

Harvard

Louzari, M. y Reyes, A. (2020) «Minimal prime ideals of skew PBW extensions over 2-primal compatible rings», Revista Colombiana de Matemáticas, 54(1), pp. 39–63. doi: 10.15446/recolma.v54n1.89788.

IEEE

[1]

M. Louzari y A. Reyes, «Minimal prime ideals of skew PBW extensions over 2-primal compatible rings», rev.colomb.mat, vol. 54, n.º 1, pp. 39–63, ene. 2020.

MLA

Louzari, M., y A. Reyes. «Minimal prime ideals of skew PBW extensions over 2-primal compatible rings». Revista Colombiana de Matemáticas, vol. 54, n.º 1, enero de 2020, pp. 39-63, doi:10.15446/recolma.v54n1.89788.

Turabian

Louzari, Mohamed, y Armando Reyes. «Minimal prime ideals of skew PBW extensions over 2-primal compatible rings». Revista Colombiana de Matemáticas 54, no. 1 (enero 1, 2020): 39–63. Accedido mayo 28, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/89788.

Vancouver

1.

Louzari M, Reyes A. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. rev.colomb.mat [Internet]. 1 de enero de 2020 [citado 28 de mayo de 2024];54(1):39-63. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/89788

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2. A. Niño, A. Reyes. (2020). Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions. Algebra and Discrete Mathematics, 30(2), p.207. https://doi.org/10.12958/adm1307.

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