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Card 6

Front

A homomorphism f: R -> S is this if it is a bijection. (surjective and Ker f = {0})

Back

Card 7

Front

Let IcE be an ideal in R. Define this by a-b∈I (only the fact that I is a subring is needed)

Back

Card 8

Front

Let R/I denote the set of this (this is denoted [a] where b∈[a] if and only if a-b∈I)

Back

Card 9

Front

Let f: R -> S be a ring homomorphism with kernal K. Then R/K≅Im f

Back