field and ring

[davidchn24]

What is the difference between these two?

 

[JeffM]

What is difference between a ring and a field?

The ring axioms require that addition is commutative, addition and multiplication are associative, multiplication distributes over addition. A field can be thought of as two groups with extra

math.stackexchange.com

 

[Deleted member 4993]

What is the difference between these two?

Please use Google for definitions (like response #2 demonstrated) and tell us (with proper reference) exactly what (if any) you do not understand.

 

[Steven G]

A field is where you plant things and a ring is something you put on your finger.