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Rings and groups

A number of questions involving rings and groups. Example:

3) Let R be a ring and [equationA]. Let [equationB] be the ring of n x n matrices with entries in R. What is the identity element of S?

*(Please see attachment for complete list of problems)

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There are several questions regarding rings, groups, subrings, and quaternions. Example: Let R be a ring and [equationA]. Let [equationB] be the ring of n x n matrices with entries in R. What is the identity element of S?

$2.19