Hopfian additive groups of rings

A group is called Hopfian  if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H. Hopf for fundamental groups of Riemann surfaces....

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Bibliographic Details
Main Author: Kaigorodov, Evgeniy Vladimirovich
Format: Article
Language:English
Published: Saratov State University 2025-02-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2025/02/15-23kaigarodov.pdf