Q1: (A) Write True (T) in front of the true statement and false (F) in front the falsestatement:1. Every subset of a ring R is also a ring.2. The elements 1 and 3 are nilpotent in the ring (Z9, +9,9).3. (R, +,.) is a Boolean ring.4. (Z, +,.) is a field.5. Any ring must be commutative.6. Every ring is a group.7. In (Z5, +5,-5), the only zero divisor element is 0.

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Answered: 1: (A) Write True (T) in front of the…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.6: Algebraic Extensions Of A Field

Problem 7E

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