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


  • Sárka Hosková University of Defence Brno




Transformation group, Join space, Abelization, Hyperoperation, Hyperstructures, Weak associativity


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.


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Author Biography

Sárka Hosková, University of Defence Brno

Department of Mathematic


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How to Cite

S. Hosková, “Abelization of join spaces of affine transformations of ordered field with proximity”, Appl. Gen. Topol., vol. 6, no. 1, pp. 57–65, Apr. 2005.