For a ring R we describe R × as the units of ring, i.e. the elements r ∈ R for which there is a r0 ∈ R with rr0 = 1. Let R and S be rings and f: R → S be a ring homomorphism. Show:
a) For all r ∈ R and all n∈ N0 we have f (rn) = f (r) n is valid.
b) If r ∈ R ×, then f (r) ∈S × and f (r − 1) = f (r) −1.
c) If r ∈ R ×, then f (r − n) = f (r) −n for all n∈ N.
d) f (R ×) ⊆S ×. e) is valid .
e) If f is bijective, then there exists a group isomorphism from R × to S ×
Answers
Answered by
0
Answer:
Rinse the cut or wound with water and apply pressure with sterile gauze, a bandage, or a clean cloth. If blood soaks through the bandage, place another bandage on top of the first and keep applying pressure. Raise the injured body part to slow bleeding. When bleeding stops, cover the wound with a new, clean bandage.
Step-by-step explanation:
Similar questions