Answer to Question #345667 in Abstract Algebra for Andiswa

Question

Some of the following statements below are true, and some are false. Prove all those statements are true, and for those are false explanation why the statement is false.

a. If R is an integral domain and about=av with a is not equal to 0 then b=c.

b. If F is a field then it must be an integral domain.

c. If R is an integral domain then it must be a field.

d. 4Z is an ideal of (Q,+,•), the ring of rationals.

e. 4Z is a subring of (Q,+,•), the ring of rationals.

Answer 1

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