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User:Nwbeeson/sandbox/MathRingInfobox

From Wikipedia, the free encyclopedia
Ring and field axioms
  Ring Commutative
ring
Skew field
or
Division ring
Field
Abelian (additive) group
structure
Yes Yes Yes Yes
Multiplicative structure
and distributivity
Yes Yes Yes Yes
Commutativity of multiplication No Yes No Yes
Multiplicative inverses No No Yes Yes

Fields

[edit]
+ O I A B
O O I A B
I I O B A
A A B O I
B B A I O
· O I A B
O O O O O
I O I A B
A O A B I
B O B I A