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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.
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File history

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(del) (cur) 18:16, 8 April 2006 . . AugPi (Talk | contribs) . . 447×447 (14,953 bytes) (Correction: if a homomorphism is both an endomorphism and an epimorphism, then it must also be an automorphism, even if it is infinite.)
(del) (rev) 17:43, 8 April 2006 . . AugPi (Talk | contribs) . . 447×447 (14,953 bytes) (Correction: an infinite homomorphism might be both an endomorphism and a monomorphism without being an automorphism.)
(del) (rev) 20:46, 7 April 2006 . . AugPi (Talk | contribs) . . 447×447 (14,953 bytes) (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:<br)