Question: Let (R, +, ) be the (finite) commutative ring with unity given by Tables 14.6(a) and (b). (a) Verify that R is a field. (b)

Let (R, +, €¢) be the (finite) commutative ring with unity given by Tables 14.6(a) and (b).

(a) Verify that R is a field.
(b) Find a subring of R that is not an ideal.
(c) Let x and y be unknowns. Solve the following system of linear equations in R: bx + y = u; x + by = z.

a-zabu zuab

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