What does "algebraic structure" mean?

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

Algebraic structure

Q: What is a synonym for "algebraic structure"?

Common synonyms include: abstract, algebraic framework, algebraic system, algebras, danish gruppe, example.

noun

noun ·Rare ·Advanced level

Definitions

Noun

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."

Synonyms

All synonyms

abstract algebraic framework algebraic system algebras danish gruppe example

Antonyms

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applied concrete numerical practical

Example

More examples

"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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