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. Tl 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.
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