algebra

See also Algebra, álgebra, and àlgebra

English

Etymology

Medieval Latin, from Arabic الجبر al-jabr “reunion, resetting of broken parts”

Pronunciation

• (UK) IPA: /ˈæl.dʒɪ.bɹə/
• (US) IPA: /ˈæl.dʒɪ.bɹə/, /ˈæl.dʒə.bɹə/

• Audio (US)

  (file)

Noun

Wikipedia algebra (countable and uncountable; plural algebras)

1. (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols
2. (uncountable, mathematics) The study of algebraic structures
3. (countable, mathematics) A universal algebra
4. (countable, algebra) An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear
5. (countable, set theory, analysis) 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)
6. (countable, mathematics) One of several other types of mathematical structure

Derived terms

σ-algebra abstract algebra alternative algebra bialgebra Boolean algebra elementary algebra finite algebra free algebra Lie algebra

linear algebra modern algebra multialgebra subalgebra power-associative algebra prealgebra submultialgebra superalgebra universal algebra vector algebra

Related terms

algebraic algebraically algebraical

algebraist algorithm

Translations

system for computation using letters or other symbols

Arabic: علم الجبر (ar) Armenian: հանրահաշիվ (hy) Azeri: cəbr (az) Belarusian: алгебра (be) (algebra) Bengali: বীজগণিত (bn) Bosnian: algebra (bs) f. Catalan: àlgebra f. Chinese: Mandarin: 代數 (zh), 代数 (zh) (dàishù) Croatian: algebra (hr) f. Czech: algebra (cs) f. Dutch: algebra (nl) m., stelkunde (nl) f. Esperanto: algebro (eo) Estonian: algebra (et) Finnish: algebra (fi) French: algèbre (fr) f. German: Algebra (de) f. Greek: άλγεβρα (el) (álgevra) f. Hebrew: אלגברה (he)

Hindi: बीजगणित (hi) (bījagṇit) f. Hungarian: algebra (hu) Ido: algebro Italian: algebra (it) f. Japanese: 代数 (ja) (だいすう, daisū) Korean: 대수 (ko) (daesu) (代數 (ko)) Macedonian: алгебра (mk) (algébra) f. Maltese: alġebra (mt) Norwegian: algebra (no) Oriya: ବୀଜଗଣିତ (or) Polish: algebra (pl) f. Portuguese: álgebra (pt) f. Russian: алгебра (ru) (álgebra) f. Slovak: algebra (sk) f. Spanish: álgebra (es) m. Swedish: algebra (sv) c. Turkish: cebir (tr) Urdu: الجبرا (ur) (aljabrā) m. Vietnamese: đại số (vi) (代數 (vi))

structure

Chinese: Mandarin: 代數式 (zh), 代数式 (zh) (dàishùshì) Croatian: algebra (hr) f. Czech: algebra (cs) f. Estonian: algebra (et) French: algèbre (fr) f.

Hungarian: algebra (hu) Japanese: 代数式 (ja) (だいすうしき, daisūshiki) Macedonian: алгебра (mk) (algébra) f. Portuguese: álgebra (pt) f. Russian: алгебра (ru) (álgebra) f. Spanish: álgebra (es) m.

study

Arabic: جبر (ar) (jabr) m., علم الجبر (ar) (3ilm al-jabr) m. Belarusian: алгебра (be) (álhebra) f. Bulgarian: алгебра (bg) (álgebra) f. Chinese: Mandarin: 代數學 (zh), 代数学 (zh) (dàishùxué) Croatian: algebra (hr) f. Czech: algebra (cs) f. Estonian: algebra (et) French: algèbre (fr) f. German: Algebra (de) f. Hindi: बीजगणित (hi) (bījagṇit) f.

Hungarian: algebra (hu) Japanese: 代数学 (ja) (だいすうがく, daisūgaku) Korean: 대수학 (ko) (daesuhak) (代數學 (ko)) Macedonian: алгебра (mk) (algébra) f. Oriya: ବୀଜଗଣିତ (or) Persian: جبر (fa) (jabr) Portuguese: álgebra (pt) f. Russian: алгебра (ru) (álgebra) f. Spanish: álgebra (es) m. Ukrainian: алгебра (uk) (álhebra) f. Urdu: الجبرا (ur) (aljabrā) m. Vietnamese: đại số học (vi) (代數學 (vi))

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Czech

Noun

algebra f.

1. algebra

Derived terms

• Booleova algebra f.
• booleovská algebra f.

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Dutch

Wikipedia ^nl

Pronunciation

• Audio

  (file)

Noun

algebra f. and m. (uncountable, ^??? please provide the diminutive!)

1. (mathematics) algebra

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Finnish

Noun

algebra

1. algebra

Declension

Declension of algebra (type omena) singular plural nominative algebra algebrat genitive algebran algebrien algebroiden algebroitten algebrojen1 algebrain1 partitive algebraa algebria algebroita algebroja1 accusative algebra algebran algebrat inessive algebrassa algebroissa elative algebrasta algebroista illative algebraan algebriin algebroihin adessive algebralla algebroilla ablative algebralta algebroilta allative algebralle algebroille essive algebrana algebroina translative algebraksi algebroiksi instructive – algebroin abessive algebratta algebroitta comitative – algebroineen 1) Rare.

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Italian

Wikipedia ^it

Etymology

Same as English algebra.

Pronunciation

• IPA: /al.ʤɛ.ˈbra/

Noun

algebra f. (plural algebre)

1. algebra

Related terms

• algebrico
• algebrista

Anagrams

• alberga

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Latin

Noun

algebra (genitive algebrae); f, first declension

1. algebra

Inflection

Number	Singular	Plural
nominative	algebra	algebrae
genitive	algebrae	algebrārum
dative	algebrae	algebrīs
accusative	algebram	algebrās
ablative	algebrā	algebrīs
vocative	algebra	algebrae

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Polish

Etymology

From Italian, Spanish or mediaeval Latin, from Arabic الجبر (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work علم الجبر والمقابلة (ilm al-jabr wa’l-muqābala), “the science of restoration and equating like with like”

Pronunciation

• Audio

  (file)

Noun

algebra f.

1. algebra

Declension

	Singular only
Nominative	algebra
Genitive	algebry
Dative	algebrze
Accusative	algebrę
Instrumental	algebrą
Locative	algebrze
Vocative	algebro

Derived terms

• algebraiczny

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Serbo-Croatian

Pronunciation

• IPA: /ǎlɡeːbra/
• Hyphenation: al‧ge‧bra

Noun

àlgēbra f. (Cyrillic spelling а̀лге̄бра)

1. algebra

Declension

    declension of algebra

	singular	plural
nominative	àlgēbra	algebre
genitive	algebre	àlgēbārā / àlgēbrī
dative	algebri	algebrama
accusative	algebru	algebre
vocative	algebro	algebre
locative	algebri	algebrama
instrumental	algebrom	algebrama

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Spanish

Noun

algebra

1. Common misspelling of álgebra.

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Swedish

Noun

algebra c.

1. (mathematics) an algebra

Declension

Declension of algebra

	singular		plural
c	indefinite	definite	indefinite	definite
nominative	algebra	algebran	algebror	algebrorna
genitive	algebras	algebrans	algebrors	algebrornas

Related terms

• algebraisk
• relationsalgebra