@article{Hosková_2005, title={Abelization of join spaces of affine transformations of ordered field with proximity}, volume={6}, url={https://polipapers.upv.es/index.php/AGT/article/view/1963}, DOI={10.4995/agt.2005.1963}, abstractNote={<p>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 (H<sub>v</sub>-group) is made and a proximity is defined on this structure.</p>}, number={1}, journal={Applied General Topology}, author={Hosková, Sárka}, year={2005}, month={Apr.}, pages={57–65} }