Re: Module: definition desired

>
>[Moderator's note: a "module" over a ring R is an abelian group M
>equipped with a ring homomorphism from R to the ring End(M) of 
>abelian group endomorphisms of M.  A "representation" of a group 
>G is a vector space V equipped with a group homomorphism from G to 
>the group Aut(V) of vector space automorphisms of V. - jb]
>
Wow! 

(Does anyone know what that all means?)

What does it mean to 'equip' a ring with something?
What's a 'ring homomorphism?
What's the ring 'End(M)'?
What's an endomorphism?
What is the group 'Aut(V)'?
What is an automorphism?

Other than those, I have no questions.


the softrat
Curmudgeon-at-Large
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I love defenceless animals, especially in a good gravy.