Algebra
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Algebra

## English

### Etymology

From Medieval Latin algebr?ica, from Arabic word (al-jabr, "reunion, resetting of broken parts") in the title of al-Khwarizmi's influential work (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, "The Compendious Book on Calculation by Completion and Balancing").

### Pronunciation

• (UK) (key): /'æl.d.b/
• (US) (key): /'æl.d.b/, /'æl.d.b/
•  Audio (US) (file)
English Wikipedia has an article on:
Wikipedia

### Noun

algebra (countable and uncountable, plural algebras)

1. () A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
2. () The surgical treatment of a dislocated or fractured bone. Also (countable): 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."[3], 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[4], 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.
3. () The study of algebraic structures.
4. () A universal algebra.
5. () 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, "Lie algebra", in English Wikipedia[5], Wikimedia Foundation, revision 831953572:
In mathematics, a Lie algebra (pronounced /li:/ "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.
6. () 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
7. () One of several other types of mathematical structure.
8. (figuratively) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
• 1663, William Clark, William Hugh Logan, editor, Marciano; or, The discovery: A tragi-comedy[6], 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?

## Czech

### Etymology

From Arabic (al-jabr, "reunion, resetting of broken parts"); see also the English algebra.

### Pronunciation

• (key): ['albra]

algebra f

1. algebra

### Related terms

• algebra in P?íru?ní slovník jazyka ?eského, 1935-1957
• algebra in Slovník spisovného jazyka ?eského, 1960-1971, 1989

## Danish

### Etymology

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

### Noun

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

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

## Dutch

Dutch Wikipedia has an article on:
Wikipedia nl

### Etymology

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

### Pronunciation

• (key): /'?l.bra:/
•  Audio (file)
• Hyphenation: al?ge?bra

### Noun

algebra f (uncountable)

1. (mathematics) algebra
Synonyms: stelkunde, stelkunst

## Finnish

### Noun

algebra

1. algebra

#### Declension

Possessive forms of algebra (type omena)
possessor singular plural
1st person algebrani algebramme
2nd person algebrasi algebranne
3rd person algebransa

## Hungarian

### Etymology

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

### Pronunciation

• (key): ['?lbr?]
• Hyphenation: al?geb?ra
• Rhymes: -r?

### Noun

algebra

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

#### Declension

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 értelmez? 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 értelmez? szótára ('The Explanatory Dictionary of the Hungarian Language'). 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)

## Italian

Italian Wikipedia has an article on:
Wikipedia it

### Etymology

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

### Pronunciation

• (key): /'al.de.bra/
• Hyphenation: al?ge?bra

### Noun

algebra f (plural algebre)

1. algebra

## Latin

### Noun

algebra f (genitive algebrae); first declension

1. () algebra

#### Declension

First-declension noun.

## Latvian

algebra on Latvian Wikipedia
Algebras formula

### Etymology

Via other European languages, ultimately from Medieval Latin algebra, from Arabic (al-jabr, "reunion, resetting of broken parts") in the title of al-Khwarizmi's influential work (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, "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 formula - algebraic formula
algebras specialists - algebra specialist
algebras m?c?bu gr?mata - algebra textbook
algebras stunda - algebra class, lesson
risin?t, atrisin?t algebras uzdevumu - to solve an algebra problem
algebra ir viena no matematikas pamatnozar?m - algebra is one of the fundamental branches of mathematics

## Norwegian Bokmål

Norwegian Wikipedia has an article on:
Wikipedia no

### Etymology

From Arabic (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 Arabic (al-jabr), via Medieval Latin algebra

### Noun

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

## Polish

### Etymology

From Italian, Spanish or mediaeval Latin, from Arabic (al-jabr) "reunion", "resetting of broken parts", used in the title of al-Khwarizmi's influential work (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, "the compendious book on restoration and equating like with like").

### Pronunciation

• (key): /al'.bra/
•  Audio (file)

### Noun

algebra f

1. algebra

#### Derived terms

• algebra in Polish dictionaries at PWN

## Serbo-Croatian

### Pronunciation

• (key): /?l?e:bra/
• Hyphenation: al?ge?bra

### Noun

àlg?bra f (Cyrillic spelling )

1. algebra

## Spanish

### Noun

algebra

1. Misspelling of álgebra.

## Swedish

### Noun

algebra c

1. (mathematics) algebra

#### Declension

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