Abelization of join spaces of affine transformations of ordered field with proximity

• Hosková, Sárka ^[1]
  1. [1] University of Defence

     University of Defence

     Chequia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 1, 2005, págs. 57-65
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of this paper is to construct the abelization of the non-commutative join space of affine transformations of ordered fields. A construction of commutative weakly associative hypergroup (Hv-group) is made and a proximity is defined on this structure.