Word.ws English Dictionary

algebraic structures

algebraic structures is the plural of algebraic structure.

Meaning of algebraic structure

Noun

algebraic structure (plural algebraic structures)

  1. (universal) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
  2. (more formally) 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:
    algebra, algebraic system, universal algebra

Questions about algebraic structures

What is algebraic structures the plural of?
Algebraic structures is the plural of algebraic structure.

Words near algebraic structures in the dictionary

  1. algebraic numbers
  2. algebraic poset
  3. algebraic posets
  4. algebraic statistics
  5. algebraic structure
  6. algebraic structures
  7. algebraic subvarieties
  8. algebraic subvariety
  9. algebraic topology
  10. algebraic varieties
  11. algebraic variety

Source and license

Adapted from Wiktionary: algebraic structures (page history and authors); algebraic structure (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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