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(b) The factor ring R/I is a integral domain if and only if I is a prime ideal of R (c) If I is maximal, then it is a prime ideal 533 Definition Let R be a commutative ring with identity, and let a R The ideal Ra = { x R x = ra for some r R } is called the principal ideal generated by aCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyWe Use Cookie We use cookies and other tracking technologies to improve your browsing experience on our website, to show you personalized content and targeted ads, to analyze our website traffic, and to understand where our visitors are coming from
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