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![ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange](https://i.stack.imgur.com/pee7I.png "ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange")
ring theory - Lang's *Algebra*: definition of $F[\alpha]$ and why it's an integral domain? - Mathematics Stack Exchange
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SOLVED: An integral domain is commutative A division ring cannot be an integral domain A field is an integral domain A division ring is commutative A field has no zero divisors Every
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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
