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Product Rings and Relations

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• In each of the cases below, describe the ring obtained from F2 by adjoining an element x satisfying the relation: (i) x2+x+1=0, (ii) x2+1=0, (iii) x2+x=0.
• Determine if Z/(6) is isomorphic to Z/(2)xZ/(3).

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Solution Summary

This solution contains step-by-step calculations and justifications to describe the ring obtained from F2 and to determine if a relation is isomorphic.