Publication detail

The unique square root condition for quasi-order hypergroups and the corresponding reflector for the category of all order-hypergroups

HOŠKOVÁ, Š., CHVALINA, J.

Original Title

The unique square root condition for quasi-order hypergroups and the corresponding reflector for the category of all order-hypergroups

English Title

The unique square root condition for quasi-order hypergroups and the corresponding reflector for the category of all order-hypergroups

Type

conference paper

Language

en

Original Abstract

There is constructed a functor called the reflector from the category of all quasi-order hypergroups and their homomorphisms into its subcategory of all order hypergroups. By a quasi-order hypergroup (order hypergroup) we mean the hypergoup determined by a binary relation of a quasi-ordering (ordering) on its carrier set.

English abstract

There is constructed a functor called the reflector from the category of all quasi-order hypergroups and their homomorphisms into its subcategory of all order hypergroups. By a quasi-order hypergroup (order hypergroup) we mean the hypergoup determined by a binary relation of a quasi-ordering (ordering) on its carrier set.

Keywords

Category of hypergoups, inclusion homomorphism, reflective subcategory, reflector

Released

02.01.2004

Publisher

Slovak University of Technology Bratislava

Location

Bratislava

ISBN

80-227-1995-1

Book

Third International Conference Aplimat

Edition

1

Edition number

1

Pages from

471

Pages to

476

Pages count

6

Documents

BibTex


@inproceedings{BUT11184,
  author="Šárka {Hošková} and Jan {Chvalina}",
  title="The unique square root condition for quasi-order hypergroups and the corresponding reflector for the category of all order-hypergroups",
  annote="There is constructed a functor called the reflector from the category of all quasi-order hypergroups and their homomorphisms into its subcategory of all order hypergroups. By a quasi-order hypergroup (order hypergroup) we mean the hypergoup determined by a binary relation of a quasi-ordering (ordering) on its carrier set.",
  address="Slovak University of Technology Bratislava",
  booktitle="Third International Conference Aplimat",
  chapter="11184",
  edition="1",
  institution="Slovak University of Technology Bratislava",
  year="2004",
  month="january",
  pages="471",
  publisher="Slovak University of Technology Bratislava",
  type="conference paper"
}