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

Mohamed Louzari; Armando Reyes

doi:10.15446/recolma.v54n1.89788

Published

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

Keywords:

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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Authors

Mohamed Louzari Abdelmalek Essaadi University
Armando Reyes Universidad Nacional de Colombia

Abstract (en)
Abstract (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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How to Cite

APA

Louzari, M. and 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. and Reyes, A. 2020. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. Revista Colombiana de Matemáticas. 54, 1 (Jan. 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: 22 jan. 2025.

Chicago

Louzari, Mohamed, and 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. and 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 and A. Reyes, “Minimal prime ideals of skew PBW extensions over 2-primal compatible rings”, rev.colomb.mat, vol. 54, no. 1, pp. 39–63, Jan. 2020.

MLA

Louzari, M., and A. Reyes. “Minimal prime ideals of skew PBW extensions over 2-primal compatible rings”. Revista Colombiana de Matemáticas, vol. 54, no. 1, Jan. 2020, pp. 39-63, doi:10.15446/recolma.v54n1.89788.

Turabian

Louzari, Mohamed, and Armando Reyes. “Minimal prime ideals of skew PBW extensions over 2-primal compatible rings”. Revista Colombiana de Matemáticas 54, no. 1 (January 1, 2020): 39–63. Accessed January 22, 2025. 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]. 2020 Jan. 1 [cited 2025 Jan. 22];54(1):39-63. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/89788

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