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Find all ideals of z12

01/10/2021 Client: muhammad11 Deadline: 2 Day

(Abstract Algebra-Ring Theory)

Consider the quotient ring Z2[x]/I, where I is the ideal consisting of all (polynomial) multiples of x3 + 1. How many elements are in this quotient ring? Show that the quotient ring is not an integral domain by finding a zero divisor.

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