C. Donoven

activity

20142026

\frac{3}{2}

-generated groups

6 citations · 14 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.GR2020★ 1 cited

Groups that are the union of two semigroups have left-orderable quotients

Casey Donoven

In this article, we show that a group $G$ is the union of two proper subsemigroups if and only if $G$ has a nontrivial left-orderable quotient. Furthermore, if $G$ is the union of…

math.GR2020

Finite Coverings of Semigroups and Related Structures

Casey Donoven, Luise-Charlotte Kappe

For a semigroup $S$ , the covering number of $S$ with respect to semigroups, $σ_{s} (S)$ , is the minimum number of proper subsemigroups of $S$ whose union is $S$ . This article investig…