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Algebra is one of the main branches of mathematics (along with geometry and analysis) encompassing the following areas of study:

An algebra is generally a mathematical space that obeys certain properties. This includes:

  • Algebra over a field (and associative algebra)
  • Algebra over a commutative ring
  • Algebra over a set (and sigma algebra)
  • Boolean algebra
  • Also an algebra is a vector space with a multiplication inter vectors. Here, belongs the famous Lie's algebras

See also:


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