algebraic structure

English dictionary entry

Meanings

noun
  1. Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
  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.

Word forms

algebraic structure algebraic structures

Synonyms

algebra algebraic system universal algebra
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