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Inventi Impact: Computational Mathematics

Articles

  • Inventi:ecm/102566/25
    On the Strongly Hopfian Acts over Semigroups
    01-Jul-2025 Research 2025 : July-September
    Ksenya Anatolyevna Kolesnikova, Igor Borisovich Kozhukhov

    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.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Kolesnikova, Ksenya Anatolyevna, and Igor Borisovich Kozhukhov. "On the Strongly Hopfian Acts over Semigroups." Applied Mathematics 16.2 (2025): 183-189. https://doi.org/10.4236/am.2025.162008 https://creativecommons.org/licenses/by/4.0/ Some formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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