On the Strongly Hopfian Acts over Semigroups
Ksenya Anatolyevna Kolesnikova, Игорь Борисович Кожухов · Applied Mathematics · 2025
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.