# algebra

## English

### Etymology

From Medieval Latin algebrāica, from Arabic word ⁧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).

### Pronunciation

• (UK) IPA(key): /ˈæl.dʒɪ.bɹə/
• (US) IPA(key): /ˈæl.d͡ʒɪ.bɹə/, /ˈæl.d͡ʒə.bɹə/
•  Audio (US) (file)
English Wikipedia has an article on:
Wikipedia

### Noun

algebra (countable and uncountable, plural algebras)

1. Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
2. (uncountable, mathematics, sometimes capitalized) 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).
3. Any of several objects of study in Algebra
1. A universal algebra.
2. 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.
Synonyms: algebra over a field, algebra over a ring
• 2018 March 23, Wikipedia contributors, “Lie algebra”, in English Wikipedia[3], Wikimedia Foundation, revision 831953572:
In mathematics, a Lie algebra (pronounced /liː/ "Lee") is a vector space ${\displaystyle {\mathfrak {g}}}$  together with a non-associative, alternating bilinear map ${\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\rightarrow {\mathfrak {g}};(x,y)\mapsto [x,y]}$ , called the Lie bracket, satisfying the Jacobi identity.
4. 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).
Synonyms: field of sets, algebra of sets
Hypernym: ring
Hyponym: σ-algebra
5. 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.
• 1663, William Clark, edited by William Hugh Logan, Marciano; or, The discovery: A tragi-comedy[4], Edinburgh: Reprinted for Private Circulation, published 1871, →ISBN, page 13:
Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?
6. The surgical treatment of a dislocated or fractured bone. Also : a dislocation or fracture.
• a1420, The British Museum Additional MS, 12,056, “Wounds complicated by the Dislocation of a Bone”, in Robert von Fleischhacker, editor, Lanfranc's "Science of cirurgie."[5], London: K. Paul, Trench, Trübner & Co, translation of original by Lanfranc of Milan, published 1894, →ISBN, page 63:
Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.
• 1987, John Newsome Crossley, “Latency”, in The emergence of number[6], Singapore: World Scientific, →ISBN, Al-Khwarizwi, page 65:
Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too.

## Czech

### Etymology

Borrowed from Arabicالْجَبْر(al-jabr, reunion, resetting of broken parts); see also the English algebra.

### Noun

algebra f

1. algebra

#### Related terms

• algebra in Příruční slovník jazyka českého, 1935–1957
• algebra in Slovník spisovného jazyka českého, 1960–1971, 1989

## Danish

### Etymology

Borrowed from Medieval Latin algebra, from Arabicالْجَبْر(al-jabr).

### Noun

algebra c (singular definite algebraen, not used in plural form)

1. algebra (using symbols)
2. algebra (study of algebraical structures)

## Dutch

Dutch Wikipedia has an article on:
Wikipedia nl

### Etymology

From Middle Dutch algebra, from Latin algebra, from Arabicالْجَبْر(al-jabr).

### Pronunciation

• IPA(key): /ˈɑl.ɣəˌbraː/
•  Audio (file)
• Hyphenation: al‧ge‧bra

### Noun

algebra f (uncountable)

1. algebra
Synonyms: stelkunde, stelkunst

## Finnish

### Etymology

From New Latin algebra, from Arabicالْجَبْر(al-jabr).

### Pronunciation

• IPA(key): /ˈɑlɡebrɑ/, [ˈɑ̝lɡe̞brɑ̝]
• Rhymes: -ɑlɡebrɑ
• Syllabification(key): al‧geb‧ra

### Noun

algebra

1. algebra

#### Declension

Inflection of algebra (Kotus type 11/omena, no gradation)
nominative algebra algebrat
genitive algebran algebrien
algebroiden
algebroitten
partitive algebraa algebria
algebroita
illative algebraan algebriin
algebroihin
singular plural
nominative algebra algebrat
accusative nom. algebra algebrat
gen. algebran
genitive algebran algebrien
algebroiden
algebroitten
algebrojenrare
algebrainrare
partitive algebraa algebria
algebroita
algebrojarare
inessive algebrassa algebroissa
algebrissa
elative algebrasta algebroista
algebrista
illative algebraan algebriin
algebroihin
algebrilla
ablative algebralta algebroilta
algebrilta
allative algebralle algebroille
algebrille
essive algebrana algebroina
algebrina
translative algebraksi algebroiksi
algebriksi
abessive algebratta algebroitta
algebritta
instructive algebroin
algebrin
comitative See the possessive forms below.
Possessive forms of algebra (Kotus type 11/omena, no gradation)
first-person singular possessor
singular plural
nominative algebrani algebrani
accusative nom. algebrani algebrani
gen. algebrani
genitive algebrani algebrieni
algebroideni
algebroitteni
algebrojenirare
algebrainirare
partitive algebraani algebriani
algebroitani
algebrojanirare
inessive algebrassani algebroissani
algebrissani
elative algebrastani algebroistani
algebristani
illative algebraani algebriini
algebroihini
algebrillani
ablative algebraltani algebroiltani
algebriltani
allative algebralleni algebroilleni
algebrilleni
essive algebranani algebroinani
algebrinani
translative algebrakseni algebroikseni
algebrikseni
abessive algebrattani algebroittani
algebrittani
instructive
comitative algebroineni
algebrineni
second-person singular possessor
singular plural
nominative algebrasi algebrasi
accusative nom. algebrasi algebrasi
gen. algebrasi
genitive algebrasi algebriesi
algebroidesi
algebroittesi
algebrojesirare
algebraisirare
partitive algebraasi algebriasi
algebroitasi
algebrojasirare
inessive algebrassasi algebroissasi
algebrissasi
elative algebrastasi algebroistasi
algebristasi
illative algebraasi algebriisi
algebroihisi
algebrillasi
ablative algebraltasi algebroiltasi
algebriltasi
allative algebrallesi algebroillesi
algebrillesi
essive algebranasi algebroinasi
algebrinasi
translative algebraksesi algebroiksesi
algebriksesi
abessive algebrattasi algebroittasi
algebrittasi
instructive
comitative algebroinesi
algebrinesi
first-person plural possessor
singular plural
nominative algebramme algebramme
accusative nom. algebramme algebramme
gen. algebramme
genitive algebramme algebriemme
algebroidemme
algebroittemme
algebrojemmerare
algebraimmerare
partitive algebraamme algebriamme
algebroitamme
algebrojammerare
inessive algebrassamme algebroissamme
algebrissamme
elative algebrastamme algebroistamme
algebristamme
illative algebraamme algebriimme
algebroihimme
algebrillamme
ablative algebraltamme algebroiltamme
algebriltamme
allative algebrallemme algebroillemme
algebrillemme
essive algebranamme algebroinamme
algebrinamme
translative algebraksemme algebroiksemme
algebriksemme
abessive algebrattamme algebroittamme
algebrittamme
instructive
comitative algebroinemme
algebrinemme
second-person plural possessor
singular plural
nominative algebranne algebranne
accusative nom. algebranne algebranne
gen. algebranne
genitive algebranne algebrienne
algebroidenne
algebroittenne
algebrojennerare
algebrainnerare
partitive algebraanne algebrianne
algebroitanne
algebrojannerare
inessive algebrassanne algebroissanne
algebrissanne
elative algebrastanne algebroistanne
algebristanne
illative algebraanne algebriinne
algebroihinne
algebrillanne
ablative algebraltanne algebroiltanne
algebriltanne
allative algebrallenne algebroillenne
algebrillenne
essive algebrananne algebroinanne
algebrinanne
translative algebraksenne algebroiksenne
algebriksenne
abessive algebrattanne algebroittanne
algebrittanne
instructive
comitative algebroinenne
algebrinenne
third-person possessor
singular plural
nominative algebransa algebransa
accusative nom. algebransa algebransa
gen. algebransa
genitive algebransa algebriensa
algebroidensa
algebroittensa
algebrojensarare
algebrainsarare
partitive algebraansa algebriaan
algebroitaan
algebriansa
algebroitansa
algebrojaanrare
algebrojansarare
inessive algebrassaan
algebrassansa
algebroissaan
algebrissaan
algebroissansa
algebrissansa
elative algebrastaan
algebrastansa
algebroistaan
algebristaan
algebroistansa
algebristansa
illative algebraansa algebriinsa
algebroihinsa
algebrallansa
algebroillaan
algebrillaan
algebroillansa
algebrillansa
ablative algebraltaan
algebraltansa
algebroiltaan
algebriltaan
algebroiltansa
algebriltansa
allative algebralleen
algebrallensa
algebroilleen
algebrilleen
algebroillensa
algebrillensa
essive algebranaan
algebranansa
algebroinaan
algebrinaan
algebroinansa
algebrinansa
translative algebrakseen
algebraksensa
algebroikseen
algebrikseen
algebroiksensa
algebriksensa
abessive algebrattaan
algebrattansa
algebroittaan
algebrittaan
algebroittansa
algebrittansa
instructive
comitative algebroineen
algebrineen
algebroinensa
algebrinensa

## Hungarian

### Etymology

From Latin algebra, from Arabicالْجَبْر(al-jabr).[1]

### Pronunciation

• IPA(key): [ˈɒlɡɛbrɒ]
• Hyphenation: al‧geb‧ra
• Rhymes: -rɒ

### Noun

algebra

1. algebra (a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols)
2. algebra (the study of algebra as a school subject)
Tudnál segíteni algebrában?Could you help me with my algebra?

#### Declension

Inflection (stem in long/high vowel, back harmony)
singular plural
nominative algebra algebrák
accusative algebrát algebrákat
dative algebrának algebráknak
instrumental algebrával algebrákkal
causal-final algebráért algebrákért
translative algebrává algebrákká
terminative algebráig algebrákig
essive-formal algebraként algebrákként
essive-modal
inessive algebrában algebrákban
superessive algebrán algebrákon
illative algebrába algebrákba
sublative algebrára algebrákra
allative algebrához algebrákhoz
elative algebrából algebrákból
delative algebráról algebrákról
ablative algebrától algebráktól
non-attributive
possessive - singular
algebráé algebráké
non-attributive
possessive - plural
algebráéi algebrákéi
Possessive forms of algebra
possessor single possession multiple possessions
1st person sing. algebrám algebráim
2nd person sing. algebrád algebráid
3rd person sing. algebrája algebrái
1st person plural algebránk algebráink
2nd person plural algebrátok algebráitok
3rd person plural algebrájuk algebráik

### References

1. ^ Tótfalusi, István. Idegenszó-tár: Idegen szavak értelmező és etimológiai szótára (’A Storehouse of Foreign Words: an explanatory and etymological dictionary of foreign words’). Budapest: Tinta Könyvkiadó, 2005. →ISBN

• algebra in Bárczi, Géza and László Országh. A magyar nyelv értelmező szótára (‘The Explanatory Dictionary of the Hungarian Language’, abbr.: ÉrtSz.). Budapest: Akadémiai Kiadó, 1959–1962. Fifth ed., 1992: →ISBN
• algebra in Ittzés, Nóra (ed.). A magyar nyelv nagyszótára (‘A Comprehensive Dictionary of the Hungarian Language’). Budapest: Akadémiai Kiadó, 2006–2031 (work in progress; published A–ez as of 2024)

## Italian

Italian Wikipedia has an article on:
Wikipedia it

### Etymology

From Medieval Latin algebra, from Arabicالْجَبْر(al-jabr, reunion, resetting of broken parts).

### Noun

algebra f (plural algebre)

1. algebra

## Latin

### Etymology

Borrowed from Arabicالْجَبْر(al-jabr, reunion, resetting of broken parts).

### Noun

algebra f (genitive algebrae); first declension

1. algebra

#### Declension

First-declension noun.

Case Singular Plural
Nominative algebra algebrae
Genitive algebrae algebrārum
Dative algebrae algebrīs
Accusative algebram algebrās
Ablative algebrā algebrīs
Vocative algebra algebrae

## Latvian

algebra on Latvian Wikipedia

### Etymology

Via other European languages, ultimately from Medieval Latin algebra, from Arabicالْجَبْر(al-jabr, reunion, resetting of broken parts) in the title of al-Khwarizmi's influential work ⁧الْكِتَاب الْمُخْتَصَر فِي حِسَاب اَلْجَبْر وَالْمُقَابَلَة(al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, The Compendious Book on Calculation by Completion and Balancing).

 (file)

### Noun

algebra f (4th declension)

1. algebra is a branch of mathematics that studies generic numbers ('variables') regardless of their actual numeric value; the corresponding school subject
algebras formulaalgebraic formula
algebras specialistsalgebra specialist
algebras mācību grāmataalgebra textbook
algebras stundaalgebra class, lesson
risināt, atrisināt algebras uzdevumuto solve an algebra problem
algebra ir viena no matematikas pamatnozarēmalgebra is one of the fundamental branches of mathematics

## Norwegian Bokmål

Norwegian Wikipedia has an article on:
Wikipedia no

### Etymology

From Arabicالْجَبْر(al-jabr), via Medieval Latin algebra.

### Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

## Norwegian Nynorsk

Norwegian Nynorsk Wikipedia has an article on:
Wikipedia nn

### Etymology

From Arabicالْجَبْر(al-jabr), via Medieval Latin algebra.

### Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

## Polish

Polish Wikipedia has an article on:
Wikipedia pl

### Etymology

Internationalism; compare English algebra. Possibly borrowed from German Algebra, French algèbre, or Spanish álgebra, ultimately from Medieval Latin algebra, from Arabicالْجَبْر(al-jabr) “reunion”, “resetting of broken parts”, used 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 restoration and equating like with like).[1][2] First attested in 1654–1676.[3]

### Pronunciation

• IPA(key): /alˈɡɛb.ra/
•  Audio (file)
• Rhymes: -ɛbra
• Syllabification: al‧geb‧ra

### Noun

algebra f

1. algebra (field of mathematics)

nouns

### References

1. ^ Mirosław Bańko; Lidia Wiśniakowska (2021), “algebra”, in Wielki słownik wyrazów obcych, →ISBN
2. ^ Bańkowski, Andrzej (2000), “algebra”, in Etymologiczny słownik języka polskiego [Etymological Dictionary of the Polish Language] (in Polish)
3. ^ Barbara Rykiel-Kempf (06.05.2009), “ALGEBRA”, in Elektroniczny Słownik Języka Polskiego XVII i XVIII Wieku [Electronic Dictionary of the Polish Language of the XVII and XVIII Century]

## Serbo-Croatian

### Pronunciation

• IPA(key): /ǎlɡeːbra/
• Hyphenation: al‧ge‧bra

### Noun

àlgēbra f (Cyrillic spelling а̀лге̄бра)

1. algebra

## Spanish

### Noun

algebra

1. Misspelling of álgebra.

## Swedish

### Noun

algebra c

1. algebra

#### Declension

Declension of algebra
Singular Plural
Indefinite Definite Indefinite Definite
Nominative algebra algebran algebror algebrorna
Genitive algebras algebrans algebrors algebrornas