Hosková, Sárka2017-06-092017-06-092005-04-011576-9402https://riunet.upv.es/handle/10251/82623[EN] 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.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Transformation groupJoin spaceAbelizationHyperoperationHyperstructuresWeak associativityArtículo2017-06-0910.4995/agt.2005.1963Abierto1989-4147