AATA Reading Questions

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Reading Questions 18.3 Reading Questions

1.

Integral domains are an abstraction of which two fundamental rings that we have already studied?

2.

What are the various types of integral domains defined in this section?

3.

The field of fractions of a ring abstracts what idea from basic mathematics?

4.

In the previous chapter we had a theorem about irreducible polynomials generating maximal ideals. Which theorem in this chapter generalizes this previous result?

5.

Describe an example which is a UFD, but not a PID.

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