Strongly transitive geometric spaces: Applications to hyperrings

• S. Mirvakili ^[1] ; B. Davvaz ^[2]
  1. [1] Payame Noor University

     Payame Noor University

     Irán

     
  2. [2] Yazd University

     Yazd University

     Irán

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 1, 2012, págs. 43-53
• Idioma: inglés
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• Resumen

  • In this paper, we determine two families R and G of subsets of a hyperring R and sufficient conditions such that two geometric spaces (R, R) and (R, G) are strongly transitive. Moreover, we prove that the relations Γ and α are strongly regular equivalence relations on a hyperfield or a hyperring such that (R, +) has an identity element.