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ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange
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![SOLVED: 'Integral domains and fields Prove that the characteristic of an integral domain is either prime o 0. Let R be a ring: We say that an element a € R is SOLVED: 'Integral domains and fields Prove that the characteristic of an integral domain is either prime o 0. Let R be a ring: We say that an element a € R is](https://cdn.numerade.com/ask_previews/4856e1a1-9c65-4dab-94e0-c167a760ba22_large.jpg)
SOLVED: 'Integral domains and fields Prove that the characteristic of an integral domain is either prime o 0. Let R be a ring: We say that an element a € R is
![SOLVED: Integral domain is a commutative ring with unity and containing no zero divisors True False Only finite field is an integral domain True False M2(Z3) +, is integral domain> True False SOLVED: Integral domain is a commutative ring with unity and containing no zero divisors True False Only finite field is an integral domain True False M2(Z3) +, is integral domain> True False](https://cdn.numerade.com/ask_images/d2636f67a537438b84c0a1a43372a958.jpg)
SOLVED: Integral domain is a commutative ring with unity and containing no zero divisors True False Only finite field is an integral domain True False M2(Z3) +, is integral domain> True False
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