Mark each of the following true or false.

___ a. Every field is also a ring. 

___ b. Every ring has a multiplicative identity. 

___ c. Every ring with unity has at least two units. 

___ d. Every ring with unity has at most two units.

___ e. It is possible for a subset of some field to be a ring but not a subfield, under the induced operations.

 ___ f. The distributive laws for a ring are not very important. 

___ g. Multiplication in a field is commutative. 

___ h. The nonzero elements of a field form a group under the multiplication in the field. 

___ i. Addition in every ring is commutative. 

___ j. Every element in a ring has an additive inverse