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Abstract Algebra Theory and Applications

Abstract AlgebraTheory and ApplicationsThomas W. JudsonStephen F. Austin State UniversityAugust 16, 2013iiCopyright 1997-2013 by Thomas W. is granted to copy, distribute and/or modify this document underthe terms of the GNU Free Documentation License, Version or any laterversion published by the Free Software Foundation; with no Invariant Sections,no Front-Cover Texts, and no Back-Cover Texts. A copy of the license isincluded in the appendix entitled GNU Free Documentation License .A current version can always be found text is intended for a one- or two-semester undergraduate course inabstract Algebra . Traditionally, these courses have covered the theoreticalaspects of groups, rings, and fields. However, with the development ofcomputing in the last several decades, Applications that involve abstractalgebra and discrete mathematics have become increasingly important, andmany science, engineering, and computer science students are now electingto minor in mathematics.

Preface This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical

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