Soft ideals in ordered semigroups

• E. H. Hamouda ^[1]
  1. [1] Beni-Suef University

     Beni-Suef University

     Egipto

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 85-94
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The notions of soft left and soft right ideals, soft quasi-ideal and soft bi-ideal in ordered semigroups are introduced. We show here that in ordered groupoids the soft right and soft left ideals are soft quasi-ideals, and in ordered semigroups the soft quasi-ideals are soft bi-ideals. Moreover, we prove that in regular ordered semigroups the soft quasi-ideals and the soft bi-ideals coincide. We finally show that in an ordered semigroup the soft quasi-ideals are just intersections of soft right and soft left ideals.