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18.3: Reading Questions

  • Page ID
    81182
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    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.


    This page titled 18.3: Reading Questions is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Thomas W. Judson (Abstract Algebra: Theory and Applications) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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