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....

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक: Kaigorodov, Evgeniy Vladimirovich
स्वरूप: लेख
भाषा:English
प्रकाशित: Saratov State University 2025-02-01
श्रृंखला:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
विषय:
ऑनलाइन पहुंच:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2025/02/15-23kaigarodov.pdf