algebraic structure

名词 n.

英文释义

名词 n.
  1. Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra. universal
  2. A mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
    — The definition of algebraic structure establishes a framework through which to compare otherwise very different abstract objects, and to study similarities and patterns made apparent by the definition.

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