%0 Journal Article
%T On the Strongly Hopfian Acts over Semigroups
%A Ksenya Anatolyevna Kolesnikova
%A Igor Borisovich Kozhukhov
%J Applied Mathematics
%P 183-189
%@ 2152-7393
%D 2025
%I Scientific Research Publishing
%R 10.4236/am.2025.162008
%X We find the necessary and sufficient conditions on a coproduct of connected acts over a semigroup to be strongly hopfian. From this, we deduce the conditions of the strong hopfness for unitary acts over groups. Moreover, we prove that a finite coproduct of strongly hopfian acts over an arbitrary semigroup is strongly hopfian.
%K Act Over Semigroup
%K Act Over Group
%K Strongly Hopfian Act
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140654