Talk:Fundamental theorem on homomorphisms

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Commutative diagram

Can we link to Commutative diagram on this page to explain the diagram? — Preceding unsigned comment added by Tarquin (talk • contribs) 11:59, 29 October 2002 (UTC)

A more general theorem

This theorem is a special case of the same theorem but in witch G/K is replaced by any group L and φ is replaced by any surjective homomorphism from G to L such that kernel(φ) is included in kernel(f) (this is equivallent to K included in kernel(f) since in this special case, K = kernel(φ)).

The conclusion is the same: a unique g from L to H such that f = g o φ. —Preceding unsigned comment added by 70.52.10.169 (talk) 01:01, 12 November 2007 (UTC)

Generalization

We should work on a more general form based on algebra formalisms since this theorem exists for vector spaces, and rings, etc. also and can be proved more generally for a suitable algebraic structure.--130.166.149.204 (talk) 17:03, 18 October 2010 (UTC)

"Factor through" listed at Redirects for discussion

File:Information.svg The redirect Factor through has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Readers of this page are welcome to comment on this redirect at Template:Slink until a consensus is reached. Utopes _{(talk / cont)} 21:55, 9 April 2024 (UTC)