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Expanded definition with more detail. see Talk section for change discussion
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'''Abstract algebra''' is a branch of [[mathematics]] that consists of [[group theory]] and [[linear algebra]].
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'''Abstract algebra''' is a branch of [[algebra]] that generalizes elementary algebra to include various algebraic structures.  An algebraic structure is a combination of a [[set]] with one or more operations.  Algebraic structures include groups (see [[group theory]]), fields, and rings amongst others.  For example, elementary algebra (see [[algebra]]) is an algebraic structure consisting of the set of [[complex numbers]] with various operations, such as addition, multiplication, logarithms, etc.<ref>Pinter, Charles; A Book of Abstract Algebra, Second Edition; 1990.  See [http://www2.math.umd.edu/~jcohen/402/Pinter%20Algebra.pdf]</ref>
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==Notes and references==
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<references/>
 
[[Category:Algebra]]
 
[[Category:Algebra]]
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