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How many roots does x^2-2 have modulo 8

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Reference no: EM131027688

Please help with the following problems.

a) If I,J are ideals in a ring R such that I+J=R and R is isomorphic to the product ring (R/I)x(R/J) when IJ=0, describe the idempotents corresponding to this product decomposition;

b) Describe the maximal ideal of RxR where in this case R is the set of real numbers;

c) How many roots does x^2-2 have, modulo 8?

Reference no: EM131027688

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