... phi_i, for all i so that each A_i is a quotient group of P c)Show that if all A_i are commutative rings with 1 and all phi_ji are ring homomorphisms that send ...
... By definition, h(u) and h(-u) are both in range h h(u) + h(-u) = h (u + -u) = h(0) = 0 because h is a homomorphism and because all homomorphisms must map zero ...
... c. Show that there is a 1-1 correspondence between the set of ring homomorphisms psi: Z[G] -> Z and the set of group homomorphisms chi: G -> {+/ 1}. ...
... Definition: Let G be an abelian group and let End_Z(G) be the set of all group homomorphisms from G to itself. We call it the endomorphism ring of G. Here, the ...
