Kfagerstrom: Created page with "An 'Integral Domain', often just called domain, is a commutative ring $R$ , with $1\neq 0$ and has no zero divisors. Any unital subring of an integral..."

2023-01-17T19:49:18Z

Created page with "An 'Integral Domain', often just called domain, is a commutative ring <math>R </math>, with <math>1\neq 0 </math> and has no zero divisors. Any unital subring of an integral..."

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An 'Integral Domain', often just called domain, is a commutative ring <math>R </math>, with <math>1\neq 0 </math> and has no zero divisors.

Any unital subring of an integral domain is an integral domain.

An ideal is prime if and only if <math>R/I </math> is an integral domain.

Every field is an domain.

If <math>R </math> is a domain, <math>S </math> is a ring and <math> f : R \to S</math> is a ring homomorphism, then <math>\text{Ker}(f)</math> is a prime ideal.

Integral Domain - Revision history

Kfagerstrom: Created page with "An 'Integral Domain', often just called domain, is a commutative ring R , with 1\neq 0 and has no zero divisors. Any unital subring of an integral..."

Kfagerstrom: Created page with "An 'Integral Domain', often just called domain, is a commutative ring $R$ , with $1\neq 0$ and has no zero divisors. Any unital subring of an integral..."