Publicado

2020-03-02

Ordered Semihypergroup Constructions

Construcciones de Semihipergrupos Ordenados

Palabras clave:

Ordered semihypergroup, hyperideal, completely regular, duo ordered semihypergroup, bi-hyperideal, intra-regular, quasi-hyperideal (en)
Semihipergrupo ordenado, hiperideal, completamente regular, semihipergrupo ordenado duo, bi-hiperideal, intra-regular, cuasi-hiperideal (es)

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Autores/as

  • L. Kamali Ardekani Ardakan University
  • B. Davvaz Yazd University
The concept of ordered semihypergroups is a generalization of the concept of ordered semigroups. In this paper, we study some aspects of hyperideals, bi-hyperideals and quasi-hyperideals of ordered semihypergroups. We investigate the notions of regular, intra-regular and completely regular ordered semihypergroups and give their characterizations in terms of hyper-ideals, bi-hyperideals and quasi-hyperideals. Also, the notion of duo ordered semihypergroups is introduced and some related results are discussed.
El concepto de semihipergrupos ordenados es una generalización del concepto de semigrupos ordenados. En este trabajo, estudiamos algunos aspectos de hiperideales, bi-hiperideales y cuasi hiperideales de semihipergrupos ordenados. Investigamos las nociones de semihipergrupos ordenados regulares ideales, intra-regulares y completamente regulares y damos sus caracterizaciones en términos de hiperideales, bi-hiperideales y cuasi-hiperideales. Además, se introduce la noción de semihipergrupos ordenados dúo y se discuten algunos resultados relacionados.

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Cómo citar

Ardekani, L. K., & Davvaz, B. (2020). Construcciones de Semihipergrupos Ordenados. Boletín De Matemáticas, 25(2), 77-99. https://revistas.unal.edu.co/index.php/bolma/article/view/85489

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