English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let S_n denote the class of hypergroups of type U on the right of size n with bilateral scalar identity. In this paper we consider the hypergroups (H,◦) ∈ S_7 which own a proper and non-trivial subhypergroup h. For these hypergroups we prove that h is closed if and only if (H − h) ◦ (H − h) = h. Moreover we consider the set E_7 of hypergroups in S_7 that own the above property. On this set, we introduce a partial ordering induced by the inclusion of hyperproducts. This partial ordering allows us to give a complete characterization of hypergroups in E_7 on the basis of a small set of minimal hypergroups, up to isomorphisms. This analysis gives a partial answer to a problem raised in [5] concerning the existence in S_n of proper hypergroups having singletons as special hyperproducts

On strongly conjugable extensions of hypergroups of type U with scalar identity