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algebraic structure

Fetched 2026-10-26 (cache).

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Noun

  1. {{lb|en|algebra|[[universal algebra]]}} Any one of the numerous types of mathematical object studied in [[algebra]] and especially in [[universal algebra]].
  2. {{lb|en|more formally}} A mathematical object comprising a [[carrier set]] (aka [[underlying set]] or [[domain]]), an optional [[scalar set]], a set of [[operation]]s (typically [[binary operation]]s, but otherwise each of finite [[arity]]) and a set of [[identity|identities]] ([[axiom]]s) which the operations must satisfy.

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