Topics on $(H,Poly(P))$-Hypergroups
In this paper, we construct a hypergroup by using a hypergroup $(H,\circ)$ and a polygroup $(P,\cdot)$, and call it $(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the established techniques of group theory. Moreover, we compare $(H,P...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-08-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_113908_f36a8692669d2839e7cf27e16283d122.pdf |
| _version_ | 1797630807422009344 |
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| author | Saeed Mirvakili Somayeh Hosseini Bijan Davvaz |
| author_facet | Saeed Mirvakili Somayeh Hosseini Bijan Davvaz |
| author_sort | Saeed Mirvakili |
| collection | DOAJ |
| description | In this paper, we construct a hypergroup by using a hypergroup
$(H,\circ)$ and a polygroup $(P,\cdot)$, and call it
$(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the established techniques of group theory. Moreover, we compare
$(H,Poly(P))$-hypergroups with $K_H$-hypergroups, complete
hypergroups and extensions of polygroups by polygroups. |
| first_indexed | 2024-03-11T11:13:07Z |
| format | Article |
| id | doaj.art-17cede8fad494a21a8d82de5c14bd418 |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:07Z |
| publishDate | 2023-08-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-17cede8fad494a21a8d82de5c14bd4182023-11-11T10:09:29ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-08-018212314010.22052/mir.2023.245979.1332113908Topics on $(H,Poly(P))$-HypergroupsSaeed Mirvakili0Somayeh Hosseini1Bijan Davvaz2Department of Mathematics, Payame Noor University, Tehran, IranDepartment of Mathematics, Payame Noor University, Tehran, IranDepartment of Mathematical Sciences, Yazd University, Yazd, IranIn this paper, we construct a hypergroup by using a hypergroup $(H,\circ)$ and a polygroup $(P,\cdot)$, and call it $(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the established techniques of group theory. Moreover, we compare $(H,Poly(P))$-hypergroups with $K_H$-hypergroups, complete hypergroups and extensions of polygroups by polygroups.https://mir.kashanu.ac.ir/article_113908_f36a8692669d2839e7cf27e16283d122.pdf$(h,g)$-hypergroups$(hpoly(p))$-hypergroup$k_h$-hypergrouphypergrouppolygroup |
| spellingShingle | Saeed Mirvakili Somayeh Hosseini Bijan Davvaz Topics on $(H,Poly(P))$-Hypergroups Mathematics Interdisciplinary Research $(h,g)$-hypergroups $(h poly(p))$-hypergroup $k_h$-hypergroup hypergroup polygroup |
| title | Topics on $(H,Poly(P))$-Hypergroups |
| title_full | Topics on $(H,Poly(P))$-Hypergroups |
| title_fullStr | Topics on $(H,Poly(P))$-Hypergroups |
| title_full_unstemmed | Topics on $(H,Poly(P))$-Hypergroups |
| title_short | Topics on $(H,Poly(P))$-Hypergroups |
| title_sort | topics on h poly p hypergroups |
| topic | $(h,g)$-hypergroups $(h poly(p))$-hypergroup $k_h$-hypergroup hypergroup polygroup |
| url | https://mir.kashanu.ac.ir/article_113908_f36a8692669d2839e7cf27e16283d122.pdf |
| work_keys_str_mv | AT saeedmirvakili topicsonhpolyphypergroups AT somayehhosseini topicsonhpolyphypergroups AT bijandavvaz topicsonhpolyphypergroups |