On Prime and Weakly Prime LA-submodules of LA-modules

Pairote Yiarayong

Publicado

2019-07-15

On Prime and Weakly Prime LA-submodules of LA-modules

Sobre LA-submódulos de LA-módulos primos y débilmente primos

Palabras clave:

LA-module, prime LA-submodule, weakly prime LA-submodule, LA-ring, prime ideal (en)
LA-módulos, LA-submódulo primo, LA-submódulo débilmente primo, LA-anillo, ideal primo (es)

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Autores/as

Pairote Yiarayong Pibulsongkram Rajabhat University

Resumen (en)
Resumen (es)

In this paper, we introduce the concept of prime and weakly prime LA-submodules and give some basic results about prime and weakly prime LA-submodules of LA-modules. Moreover, we investigated relationships between prime and weakly prime LA submodules in LA-modules. Finally, we obtain sufficient conditions of a weakly prime LA-submodule in order to be a prime LA-submodule.

En este artículo, introducimos el concepto de LA-submódulos primos y débilmente primos y damos algunos resultados básicos acerca de los conceptos de LA-submódulos de LA-módulos primos y débilmente primos. Más aún, investigamos relaciones entre LA-submódulos primos y débilmente primos en LA-módulos. Finalmente, obtenemos condiciones suficientes para que un LA-submódulo débilmente primo sea un LA-submódulo primo.

Referencias

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P. Holgate, Groupoids satisfying a simple invertive law, Mathematical Studies 61 (1992), 101-106.

F. Hussain, M. S. A. Khan, K. Rahman, and M. Khan, Congruences and external direct sum of LA-modules, Indian Journal of Science and Technology 8 (2015), no. 28, 1-7.

H. Mostafanasab, U. Tekir, and K. H. Oral, Weakly classical prime submodules, KYUNGPOOK Math. J. 56 (2016), 1085-1101.

Q. Mushtaq and M.S. Kamran, Left almost group, Proc. Pak. Acad. of Sciences 33 (1996), 1-2.

T. Shah, M. Raees, and G. Ali, On LA-modules, Int. J. Contemp. Math. Sciences 6 (2011), no. 21, 999-1006.

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Cómo citar

APA

Yiarayong, P. (2020). On Prime and Weakly Prime LA-submodules of LA-modules. Boletín de Matemáticas, 26(2), 101–112. https://revistas.unal.edu.co/index.php/bolma/article/view/89895

ACM

[1]

Yiarayong, P. 2020. On Prime and Weakly Prime LA-submodules of LA-modules. Boletín de Matemáticas. 26, 2 (mar. 2020), 101–112.

ACS

(1)

Yiarayong, P. On Prime and Weakly Prime LA-submodules of LA-modules. Bol. Matemáticas 2020, 26, 101-112.

ABNT

YIARAYONG, P. On Prime and Weakly Prime LA-submodules of LA-modules. Boletín de Matemáticas, [S. l.], v. 26, n. 2, p. 101–112, 2020. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/89895. Acesso em: 27 jul. 2024.

Chicago

Yiarayong, Pairote. 2020. «On Prime and Weakly Prime LA-submodules of LA-modules». Boletín De Matemáticas 26 (2):101-12. https://revistas.unal.edu.co/index.php/bolma/article/view/89895.

Harvard

Yiarayong, P. (2020) «On Prime and Weakly Prime LA-submodules of LA-modules», Boletín de Matemáticas, 26(2), pp. 101–112. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/89895 (Accedido: 27 julio 2024).

IEEE

[1]

P. Yiarayong, «On Prime and Weakly Prime LA-submodules of LA-modules», Bol. Matemáticas, vol. 26, n.º 2, pp. 101–112, mar. 2020.

MLA

Yiarayong, P. «On Prime and Weakly Prime LA-submodules of LA-modules». Boletín de Matemáticas, vol. 26, n.º 2, marzo de 2020, pp. 101-12, https://revistas.unal.edu.co/index.php/bolma/article/view/89895.

Turabian

Yiarayong, Pairote. «On Prime and Weakly Prime LA-submodules of LA-modules». Boletín de Matemáticas 26, no. 2 (marzo 4, 2020): 101–112. Accedido julio 27, 2024. https://revistas.unal.edu.co/index.php/bolma/article/view/89895.

Vancouver

1.

Yiarayong P. On Prime and Weakly Prime LA-submodules of LA-modules. Bol. Matemáticas [Internet]. 4 de marzo de 2020 [citado 27 de julio de 2024];26(2):101-12. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/89895