Hopfian object
id:
hopfian-object-195-11420369
title:
Hopfian object
text:
In the branch of mathematics called category theory, a hopfian object is an object A such that any epimorphism of A onto A is necessarily an automorphism. The dual notion is that of a cohopfian object, which is an object B such that every monomorphism from B into B is necessarily an automorphism. The two conditions have been studied in the categories of groups, rings, modules, and topological spaces. The terms "hopfian" and "cohopfian" have arisen since the 1960s, and are said to be in honor of
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical object
original url:
https://en.wikipedia.org/wiki/Hopfian_object
date created:
date modified:
2024-04-15T10:38:57Z
main entity:
{"identifier":"Q5900526","url":"https://www.wikidata.org/entity/Q5900526"}
image:
fields total:
13
integrity:
14