Representation of groups and semihypergroups of certain transformation operators
| Autoři | |
|---|---|
| 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. |