Question

State and fundamental theorem for Boolean ring.

Answer 1

Answer:

1. To establish a fundamental theorem of ring homomorphisms, we make a small exception in not requiring that is an ideal for the quotient to be defined. Theorem 1 (The Fundamental Theorem of Ring Homomorphisms): Let $(R, +_1, *_1)$ and $(S, +_2, *_2)$ be homomorphic rings with ring homomorphism $\phi : R \to S$.

Answer 2

Answer:

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