Mark each of the following true or false.
__a. M„(F) has no divisors of 0 for any n and any field F.
__b. Every nonzero element of M2(ℤ2) is a unit.
__c. End(A) is always a ring with unity ≠ 0 for every abelian group A.
__d. End(A) is never a ring with unity ≠ 0 for any abelian group A.
__e. The subset Iso(A) of End(A), consisting of the isomorphisms of A onto A, forms a subring of End(A) for every abelian group A.
__f. R{ ℤ, +) is isomorphic to (ℤ, +, •) for every commutative ring R with unity.
__g. The group ring RG of an abelian group G is a commutative ring for any commutative ring R with unity.
__h. The quaternions are a field.
__ i. (ℍ*, •) is a group where ℍ* is the set of nonzero quaternions.
__j. No subring of ℝis a field.
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