On the Strongly Hopfian Acts over Semigroups  

作　　者：Ksenya Anatolyevna Kolesnikova Igor Borisovich Kozhukhov Ksenya Anatolyevna Kolesnikova;Igor Borisovich Kozhukhov(National Research University MIET, Lomonosov Moscow State University, Moscow, Russia;Russian Presidental Academy of National Economy and Public Administration, Moscow, Russia)

机构地区：[1]National Research University MIET, Lomonosov Moscow State University, Moscow, Russia [2]Russian Presidental Academy of National Economy and Public Administration, Moscow, Russia

出　　处：《Applied Mathematics》2025年第2期183-189,共7页应用数学(英文)

摘　　要：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.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.

关 键 词：Act Over Semigroup Act Over Group Strongly Hopfian Act 

分 类 号：O15[理学—数学]