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[edit] Summary

Relationships between different kinds of homomorphisms.
H = set of Homomorphisms
M = set of Monomorphisms
P = set of ePimorphisms
S = set of iSomorphisms
N = set of eNdomorphisms
A = set of Automorphisms

Notice that:
M ∩ P = S,
S ∩ N = A,
P ∩ N = A,
and M ∩ N \ A contains only infinite homomorphisms.

[edit] Licensing

I, the creator of this work, hereby grant the permission to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Subject to disclaimers.

File history

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	Date/Time	Dimensions	User	Comment
current	18:16, 8 April 2006	447×447 (15 KB)	AugPi (Talk \| contribs)	(Correction: if a homomorphism is both an endomorphism and an epimorphism, then it must also be an automorphism, even if it is infinite.)
	17:43, 8 April 2006	447×447 (15 KB)	AugPi (Talk \| contribs)	(Correction: an infinite homomorphism might be both an endomorphism and a monomorphism without being an automorphism.)
	20:46, 7 April 2006	447×447 (15 KB)	AugPi (Talk \| contribs)	(Relationships between different kinds of homomorphisms. <br> H = set of Homomorphisms <br> M = set of Monomorphisms <br> P = set of ePimorphisms <br> S = set of iSomorphisms <br> N = set of eNdomorphisms <br> A = set of Automorphisms <br> Notice that:<br)