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How to pronounce algebra

IPA transcription: ['ældʒəbɹə]

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Noun

  • the mathematics of generalized arithmetical operations

Usage examples

  • In other words, any simple algebra is a central simple algebra over its center.
  • We immediately get some very useful connections with other areas of algebra.
  • Other synonyms for the notion include absolutely free algebra, anarchic algebra.
  • Semisimple rings are of particular interest to algebraists.
  • The rational numbers are algebraically compact as a Z-module.
  • Subalgebra can be a subset of both cases.
  • Additionally, Scott domains appear with other names like "algebraic semilattice" in some publications.
  • The following structures include generalizations and other algebraic objects similar to rings.
  • This concept is used in algebraic structures such as groups.
  • These algebraic approximations can be "exactly" expressed in terms of Dedekind eta quotients.