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

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

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

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82623

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Title: Abelization of join spaces of affine transformations of ordered field with proximity
Author: Hosková, Sárka
Issued date:
Abstract:
[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 ...[+]
Subjects: Transformation group , Join space , Abelization , Hyperoperation , Hyperstructures , Weak associativity
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2005.1963
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2005.1963
Type: Artículo

References

E. Cech, Topological Spaces, revised by Z. Frol’ık and M. Katˇetov, (Academia, Praha 1966).

P. Corsini, Prolegomena of Hypergroup Theory, (Aviani Editore Tricesimo 1993).

J. Chvalina, S. Hosková, Join space of first-order linear partial differential operators with compatible proximity induced by a congruence on their group, Proc. of Mathematical and Computer modelling in Science and Engineering, Prague (2003), 166-170. [+]
E. Cech, Topological Spaces, revised by Z. Frol’ık and M. Katˇetov, (Academia, Praha 1966).

P. Corsini, Prolegomena of Hypergroup Theory, (Aviani Editore Tricesimo 1993).

J. Chvalina, S. Hosková, Join space of first-order linear partial differential operators with compatible proximity induced by a congruence on their group, Proc. of Mathematical and Computer modelling in Science and Engineering, Prague (2003), 166-170.

S. Hosková, Examples of abelization of hypergroups based on their direct products, Sborník VA, part B, 2, 7–19, (2002).

S. Hosková, Abelization of differential rings, Proc. of the 1st International mathematical workshop FAST VUT Brno, 2p., (2002).

S. Hosková, Abelization of a certain representation of non-commutative join space, Proc. of International Conference Aplimat 2003, Bratislava, Slovakia, (2003), 365–368.

S. Hosková, J. Chvalina, Abelization of proximal Hv-rings using graphs of good homomorphisms and diagonals of direct squares of hyperstructures, Proceedings of 8th Internat. Congress on AHA, Samothraki, Greece (2002), 147–159.

Jantosciak, J. (1997). Transposition Hypergroups: Noncommutative Join Spaces. Journal of Algebra, 187(1), 97-119. doi:10.1006/jabr.1997.6789

T. Vougiouklis, Hyperstructures and Their Representations, Hadronic Press Monographs in Mathematics, (Palm Harbor Florida 1994).

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