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Abstract algebra

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Abstract algebra is the study of general algebraic structures, such as groups, rings, fields, and vector spaces. When there is little risk of confusion, mathematicians use the word algebra to describe this study, and only use the term abstract algebra to distinguish from elementary algebra.

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Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
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