what is the application of Hom in singular?

mech · Mon Apr 04, 2011 2:45 pm

what is the correct application of Hom in singular?
Could you give a demonstration of using Hom?

I only know
in Haskell, Hom set is collection of functions
in Singular is modulo (module (kontraHom,kohom),khom)) which take two matrix as input and output one matrix. can the matrix include exp or log or sin or cos?

is this matrix used for a mapping from one function to another function like Functor? if not, could you demonstrate an application of Hom

Re: what is the application of Hom in singular?

gorzel · Mon Apr 04, 2011 3:03 pm

Did you read the documentation for Hom ?
An example is given there.
http://www.singular.uni-kl.de/Manual/la ... tm#SEC1006

Re: what is the application of Hom in singular?

mech · Mon Apr 04, 2011 5:21 pm

After read , i still do not know its application.
diagram show that it can do morphism from Hom to Hom

Any more examples in real world application