Talk:Kernel (algebra)

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 Field: Algebra

Considering they are directly related, no reason not to have them merged.

Null space and kernel are taught as different concepts in different contexts. --Bkwillwm 21:45, 5 December 2005 (UTC)
I would probably support a merger of all three of kernel (algebra), kernel (mathematics, and null space. -lethe talk + 09:47, 14 March 2006 (UTC)

I suggest the merge discussion be centralized in kernel (mathematics). — Arthur Rubin | (talk) 02:57, 17 March 2006 (UTC)

Convolution[edit]

Could someone explain how this is or is not the same as the kernel of a convolution? It seems to be different in that a convolution is linear yet in general only the zero vector maps to zero (I think). —Ben FrantzDale 15:47, 20 December 2006 (UTC)

picture[edit]

can the editor of this article give me suggestions on how to make this picture consistent with the terminology of this article, thanks--Cronholm144 09:27, 31 May 2007 (UTC)

Group homomorphism.svg

What is a Mal'cev algebra?[edit]

The article speaks of groups as being Mal'cev algebras, but the linked article Malcev algebra describes something that groups definitely are not, so what is a Mal'cev algebra in the context of this article here? 95.88.237.20 (talk) 19:13, 13 February 2013 (UTC)

Surely additive groups are Mal'cev algebras when equipped withe the zero product. But Mal'cev algebra is too much a stub to decide what the editor did mean. I have tagged Mal'cev algebra as stub? D.Lazard (talk) 21:22, 13 February 2013 (UTC)
Aren't Mal'cev algebras supposed to be non-associative algebras, which in turn are supposed to be modules? If a module needs to be an abelian group, how can a non-abelian group be a Mal'cev algebra? 95.88.237.20 (talk) 12:26, 14 February 2013 (UTC)
I have changed "group" into "commutative group". I hope that ths solves the problem. D.Lazard (talk) 15:23, 14 February 2013 (UTC)

Kernel (Ring homomorphisms)[edit]

This section incorrectly states "It turns out that, although ker f is generally not a subring of R," but this is false (http://www.proofwiki.org/wiki/Kernel_is_Subring). I'll review the symbology carefully and update if it turns out that the article is in fact erroneous. 129.21.72.58 (talk) 01:10, 28 April 2013 (UTC)

You are wrong, the article correctly asserts that the kernel is a non-unital ring but is not a unital ring, unless if the target of the homomorphism is the zero ring. D.Lazard (talk) 08:37, 28 April 2013 (UTC)