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- Hopfian object (section Hopfian and cohopfian groups)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...6 KB (842 words) - 10:38, 15 April 2024
- G, and whose intersection is a finite group. A group G is called dis-cohopfian if there exists an injective endomorphism φ : G → G {\displaystyle \varphi...10 KB (1,533 words) - 22:52, 3 May 2024
- (17.9.6). Therefore, a scheme of finite presentation over a base S is a cohopfian object in the category of S-schemes. The Ax–Grothendieck theorem may also...7 KB (818 words) - 02:55, 26 December 2021
- simply that M is a Hopfian module. Similarly, an Artinian module M is coHopfian: any injective endomorphism f is also a surjective endomorphism. Any R-module...19 KB (2,837 words) - 22:51, 25 November 2023
- Hopfian (not comparable) (mathematics) Relating to, or introduced by, Heinz Hopf (1894–1971), German mathematician. cohopfian Hopfian group Hopfian object