I have a lot of sympathies for Mergism but in this case its a bit tricky A Structurist solution might be better here I would rather see less content and more disambiguation and sectioning on this page with Main article  just under the heading of each section What I dont like about this page is that it favors the settheoreticalgebraic usage of kernel a bit too much over the other uses such as the integral transform or statistical usagesAlthough the settheoretic usage is more general than the algebraic it is not the case that someone trying to understand the notion in group theory or ring theory for the first time really needs the settheoretic version Usually preimage of the neutral element will do From this point of view kernelalgebra is OK although still a bit too chatty particularly in the General Case section The Malcev algebra section needs help because of the redlinks It also underplays the category theory notion too much compared to the universal algebra notion Again I think that page could be improved with better sectioning Null space is very problematic It is claimed on that page that some people use both that term and the term kernel to denote the zero set of an operator where the latter term is used in its broadest possibly nonlinear sense That coincides with the algebraic version only in the case of linear operators ie linear transformations I confess I have never seen either null space or kernel used synonymously with zero set but have only seem the terms used in the algebraic or in the case of kernel settheoretic senses Maybe I live in a bubble If kernel really is used sometimes in this rather weak sense then this page needs a brief mention of it Again the page Null space itself is rather unstructured Better sectioning could probably fix itHmm That makes three times I mentioned better sectioning Maybe I really am a Structurist  

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I have a lot of sympathies for Mergism but in this case its a bit tricky A Structurist solution might be better here I would rather see less content and more disambiguation and sectioning on this page with Main article  just under the heading of each section What I dont like about this page is that it favors the settheoreticalgebraic usage of kernel a bit too much over the other uses such as the integral transform or statistical usagesAlthough the settheoretic usage is more general than the algebraic it is not the case that someone trying to understand the notion in group theory or ring theory for the first time really needs the settheoretic version Usually preimage of the neutral element will do From this point of view kernelalgebra is OK although still a bit too chatty particularly in the General Case section The Malcev algebra section needs help because of the redlinks It also underplays the category theory notion too much compared to the universal algebra notion Again I think that page could be improved with better sectioning Null space is very problematic It is claimed on that page that some people use both that term and the term kernel to denote the zero set of an operator where the latter term is used in its broadest possibly nonlinear sense That coincides with the algebraic version only in the case of linear operators ie linear transformations I confess I have never seen either null space or kernel used synonymously with zero set but have only seem the terms used in the algebraic or in the case of kernel settheoretic senses Maybe I live in a bubble If kernel really is used sometimes in this rather weak sense then this page needs a brief mention of it Again the page Null space itself is rather unstructured Better sectioning could probably fix itHmm That makes three times I mentioned better sectioning Maybe I really am a Structurist  

