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A First Course in Abstract Algebra

Optional Text: A First Course in Abstract Algebra, 2nd ed Rotman ISBN: 0-13-011584-3 Most of what I will cover in the class will be addressed to some extent in the optional text, but I will not make specific use of it If in your other math classes, you only used your book for homework problems, then you probably won’t need this book



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3 Dummit and Foote’s Abstract Algebra 4 Fraleigh’s A First Course in Abstract Algebra 5 Rotman’s A First Course in Abstract Algebra 6 Nicholson’s Introduction to Abstract Algebra (used this in 2017 as required text) 7 Beachy and Blair’s Abstract Algebra (used this in 2018 as required text) style guide I use a few standard conventions


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A First Course in Abstract Algebra, with Applications Third Edition by Joseph J Rotman Exercises for Chapter 1 1 1 True or false with reasons (i) There is a largest integer in every nonempty set of negative inte-gers Solution True IfC is a nonempty set of negative integers, then C n n C isanonemptysetofpositiveintegers If aisthesmallestelement


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