algebra
Pronunciation
  • (British) IPA: /ˈæl.dʒɪ.bɹə/
  • (America) IPA: /ˈæl.dʒɪ.bɹə/, /ˈæl.dʒə.bɹə/
Noun

algebra

  1. (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
  2. (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
  3. (uncountable, mathematics) The study of algebraic structures.
  4. (countable, mathematics) A universal algebra.
  5. (countable, algebra) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
    Synonyms: algebra over a field, algebra over a ring
  6. (countable, set theory, analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
    Synonyms: field of sets
  7. (countable, mathematics) One of several other types of mathematical structure.
  8. (figurative) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
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