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Mathematics, 09.11.2020 01:50 lmiranda5034

Seja f : A → B um homomorfismo de anéis. Mostre que: (a) Se C é um subanel de A, então f(C) é um subanel de B.
(b) Se D é um subanel de B, então f−1 (D) é um subanel de A.
(c) Se I é um ideal de A e f é sobrejetora, então f(I) é um ideal de B.
(d) Se J é um ideal de B, então f−1(J) é um ideal de A.

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Seja f : A → B um homomorfismo de anéis. Mostre que: (a) Se C é um subanel de A, então f(C) é um su...

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