Standard Lemma guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
Definition source: English Wiktionary via Wiktextract
Usage: uncountable
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
Definition source: English Wiktionary via Wiktextract
Usage: capitalized, sometimes, uncountable
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Any of several objects of study in Algebra
A universal algebra.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Any of several objects of study in Algebra
An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
Definition source: English Wiktionary via Wiktextract
Usage: countable, uncountable
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Synonyms: algebra over a field, algebra over a ring
Antonyms: none provided
noun
A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
Definition source: English Wiktionary via Wiktextract
Usage: countable
Topics: mathematical-analysis, mathematics, sciences, set-theory
No example sentence was provided for this meaning.
Synonyms: field of sets, algebra of sets
Antonyms: none provided
Broader terms: ring
Narrower terms: σ-algebra
noun
A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
Definition source: English Wiktionary via Wiktextract
Usage: countable, figuratively, uncountable
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
Definition source: English Wiktionary via Wiktextract
Usage: historical, rare, uncountable
Topics: medicine, sciences
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
the mathematics of generalized arithmetical operations
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
Broader terms: pure mathematics
Narrower terms: quadratics, linear algebra, vector algebra, matrix algebra
History
Etymology tree Arabic جَبَرَ (jabara) Arabic الْجَبْر (al-jabr)bor. Medieval Latin algebrabor. English algebra Borrowed from Medieval Latin algebra, from the Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, “The Compendious Book on Calculation by Completion and Balancing”).
Across languages
148 source translations are retained for this English entry.
