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In: Advanced Math

In general, what do you need to show to prove the following?: (For example: to prove...

In general, what do you need to show to prove the following?: (For example: to prove something is a group you'd show closure, associative, identity, and invertibility)

a. Ring

b. Subring

c. Automorphism of rings

d. Ring homomorphism

e. Integral domain

f. Ideal

g. Irreducible

h. isomorphic

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