Minimal Order Semihypergroups of Type U on the Right |
| |
Authors: | Dario Fasino Domenico Freni |
| |
Institution: | (1) Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 208, 33100 Udine, Italy |
| |
Abstract: | We study existence and possible uniqueness of special semihypergroups of type U on the right. In particular, we prove that there exists a unique proper semihypergroup of this kind having order 6, apart
of isomorphisms; the least order for a hypergroup of type U on the right to have a stable part which is not a subhypergroup is 9; and the minimal cardinality of a proper semihypergroup
of that kind whose heart and derived semihypergroup are proper and nontrivial is 12.
Contextually, we analyze properties of the kernel of homomorphisms g : H ↦ G, where H is a finite semihypergroup of type U on the right and G is a group. In this way, we obtain results that are immediately applicable both to the heart and to the derived of such semihypergroups.
|
| |
Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 20N20 |
本文献已被 SpringerLink 等数据库收录! |
|