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has been cited by the following article:

• TITLE: On the Strongly Hopfian Acts over Semigroups

  AUTHORS: Ksenya Anatolyevna Kolesnikova, Igor Borisovich Kozhukhov

  KEYWORDS: Act Over Semigroup, Act Over Group, Strongly Hopfian Act

  JOURNAL NAME: Applied Mathematics, Vol.16 No.2, February 19, 2025

  ABSTRACT: 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.