Publication details

Representation of groups and semihypergroups of certain transformation operators

Authors

BERÁNEK Jaroslav CHVALINA Jan

Year of publication 2019
Type Article in Proceedings
Conference Matematika, informační technologie a aplikované vědy (MITAV 2019)
MU Faculty or unit

Faculty of Education

Citation
Keywords Vector space; vectors of continuous functions; semigroup; hypergroup
Description The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. There is constructed a noncommutative group and its certain normal subgroup from the vector space, vectors of which are formed by continuous real functions of one variable. Then we describe constructions of a noncommutative semihypergroup based on so called Ends-lemma and a commutative hypergroup using upper ends of its ordered support. The presented construction can serve as a certain skeleton of further useful considerations.

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