Word.ws English Dictionary

algebraic structure

algebraic structure noun: any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.

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.
    • In this chapter we propose a general means for describing algebraic structures, both strict and up to homotopy, and we apply the results of the preceding chapter to the study of these […] .1975, Ronald James Williams, Algebraic Structures Up to Homotopy, University of California, San Diego, page 16
    Synonyms:
    algebra, algebraic system, universal algebra

algebraic structure meaning in Tamil

algebraic structure in Tamil

இயற்கணித வடிவமைப்பு

Examples of algebraic structure in a sentence

  • Any algebraic structure is defined by a non-empty set of elements, and a set of rules or conditions that the elements satisfy.2019, Palash B. Pal, A Physicist's Introduction to Algebraic Structures, Cambridge University Press, page 37:
  • A monoid is a purely algebraic structure consisting of an associative binary operation and an identity element for that operation.2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning...

Synonyms of algebraic structure

Forms of algebraic structure

pluralalgebraic structures

Questions about algebraic structure

What does algebraic structure mean?
Algebraic structure means any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
What is algebraic structure in Tamil?
Algebraic structure in Tamil is இயற்கணித வடிவமைப்பு. See Algebraic structure meaning in Tamil.
How do you use algebraic structure in a sentence?
Any algebraic structure is defined by a non-empty set of elements, and a set of rules or conditions that the elements satisfy.
What part of speech is algebraic structure?
Algebraic structure is a noun.
What is the plural of algebraic structure?
The plural of algebraic structure is algebraic structures.

Words near algebraic structure in the dictionary

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

Source and license

Adapted from Wiktionary: algebraic structure (page history and authors); algebraic structure (Tamil Wiktionary) (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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