Question

Prove that every finite intergral domain is a failed.

Answer 1

A field is simply a commutative ring with unity, which also has the property that every element is a unit (i.e. every element has a multiplicative inverse). Thus, the main tribulation in this proof is to show that every element of a finite integral domain must have an inverse.

Answer 2

Answer:

A field is simply a commutative ring with unity, which also has the property that every element is a unit (i.e. every element has a multiplicative inverse). Thus, the main tribulation in this proof is to show that every element of a finite integral domain must have an inverse.