1.3: Reading Questions

Abstract Algebra: Theory and Applications · LibreTexts

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    From LibreTexts, under GNU Free Documentation, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    1

    What do relations and mappings have in common?

    2

    What makes relations and mappings different?

    3

    State carefully the three defining properties of an equivalence relation. In other words, do not just name the properties, give their definitions.

    4

    What is the big deal about equivalence relations? (Hint: Partitions.)

    5

    Describe a general technique for proving that two sets are equal.

    This page titled 1.3: Reading Questions was last modified on Tue, 01 Sep 2026 06:45:04 GMT and 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.