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Informace o publikaci
Representation of groups and semihypergroups of certain transformation operators
Autoři | |
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Rok publikování | 2019 |
Druh | Článek ve sborníku |
Konference | Matematika, informační technologie a aplikované vědy (MITAV 2019) |
Fakulta / Pracoviště MU | |
Citace | |
Klíčová slova | Vector space; vectors of continuous functions; semigroup; hypergroup |
Popis | 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. |