Algebra (disambiguation)

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Look up algebra in Wiktionary, the free dictionary.

Algebra is one of the main branches of mathematics. The term is also used in other ways.

[edit] As a specialized branch of mathematics

The term algebra may also refer to a more specialized branch of mathematics within the general field of Algebra:

• Elementary algebra
• Abstract algebra
• Linear algebra
• Universal algebra
• Computer algebra

[edit] As a mathematical structure

In addition, many mathematical structures are known as algebras.

• In logic:
  • Boolean algebra (structure)
  • Heyting algebra
• In set theory:
  • Algebra over a set
  • Sigma algebra
• In linear algebra and the study of vector spaces:
  • Algebra over a field
  • Associative algebra
  • Superalgebra
  • Lie algebra
• In ring theory:
  • Algebra over a commutative ring (or R-algebra)
• In functional analysis:
  • Banach algebra
  • Operator algebra
  • C* algebra
  • Von Neumann algebra
• In category theory:
  • F-algebra
  • F-coalgebra
• In the relational model:
  • Relational algebra

[edit] See also

• Algebraic

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