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SOLVED: Let f : R divisor S be ring homomorphism and assume that S has no zero Check ALL that are correct The kernel of f is maximal ideal; R/Kerf is field
SOLVED: (N,+,x) is a subring of (Z,+,x) The kernel of a ring homomorphism on a ring R,is an ideal of R. (m) Every maximal ideal is a prime ideal: Every prime ideal
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Important theorems about ring homomorphisms and ideals. 1. Suppose that R and R' are rings and that ฯ : R -โ R' is a ring hom
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SOLVED: Definition: Let o: R = be a ring homomorphism between rings Then the kernel of 0 is ker(o) = re R:o(r) = 0. Proposition 2.0 If 0: R 7 5 i
