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cbarker1

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MHB

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What are the strategies from proving a either-or statements? Is there a way for me to write an either-or statement into a standard if-then statements? For example, this exercise is from Dummit and Foote Abstract Algebra 2nd, "Let $x$ be a nilpotent element of the commutative ring $R$. Prove that $x$ is either a zero or an zero divisor."

Any advice will be helpful.

Thanks

Cbarker1