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

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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1963-6130-1-SM.pdf (148.1 KB)

Fecha

2005-04-01

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https://riunet.upv.es/handle/10251/82623

Cita bibliográfica

Hosková, S. (2005). Abelization of join spaces of affine transformations of ordered field with proximity. Applied General Topology. 6(1):57-65. https://doi.org/10.4995/agt.2005.1963

Titulación

Resumen

[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.

Palabras clave

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

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2005.1963

Versión del editor

https://doi.org/10.4995/agt.2005.1963

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Applied General Topology - Vol 06, No 1 (2005)