algebra

See also Algebra, álgebra, and àlgebra

English

Etymology

From 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

• Afrikaans: algebra (af)
• Arabic: علم الجبر (ar)
• Armenian: հանրահաշիվ (hy) (hanrahašiv)
• Asturian: álxebra (ast) f
• Azeri: cəbr (az)
• Belarusian: алгебра (be) (algebra)
• Bengali: বীজগণিত (bn)
• Catalan: àlgebra (ca) f
• Chinese:

  Mandarin: 代數 (cmn), 代数 (cmn) (dàishù)

• Czech: algebra (cs) f
• Dutch: algebra (nl) m, stelkunde (nl) f
• Esperanto: algebro (eo)
• Estonian: algebra (et)
• Finnish: algebra (fi)
• French: algèbre (fr) f
• Galician: álxebra (gl) f
• German: Algebra (de) f
• Greek: άλγεβρα (el) (álgevra) f
• Hebrew: אלגברה (he)
• Hindi: बीजगणित (hi) (bījagṇit) f
• Hungarian: algebra (hu)

• Ido: algebro (io)
• 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
• Malay: aljabar (ms)
• Maltese: alġebra (mt)
• Norwegian: algebra (no)
• Occitan: algèbra (oc) f
• Oriya: ବୀଜଗଣିତ (or)
• Polish: algebra (pl) f
• Portuguese: álgebra (pt) f
• Russian: алгебра (ru) (álgebra) f
• Serbo-Croatian:

  Cyrillic: алгебра (sh) f

  Roman: algebra (sh) 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))

study of algebraic structures

• Afrikaans: algebra (af)
• 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 (cmn), 代数学 (cmn) (dàishùxué)

• 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
• Serbo-Croatian:

  Cyrillic: алгебра (sh) f

  Roman: algebra (sh) f

• Spanish: álgebra (es) m
• Ukrainian: алгебра (uk) (álhebra) f
• Urdu: الجبرا (ur) (aljabrā) m
• Vietnamese: đại số học (vi) (代數學 (vi))

universal algebra — see universal algebra

structure

• Afrikaans: algebra (af)
• Chinese:

  Mandarin: 代數式 (cmn), 代数式 (cmn) (dàishùshì)

• Czech: algebra (cs) f
• Estonian: algebra (et)
• Finnish: algebra (fi)
• 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
• Serbo-Croatian:

  Cyrillic: алгебра (sh) f

  Roman: algebra (sh) f

• Spanish: álgebra (es) m

set theory: collection of subsets

• Finnish: algebra (fi)

one of several other types of mathematical structure

• Finnish: algebra (fi)

---

Czech

Noun

algebra f

1. algebra

Derived terms

• Booleova algebra f
• booleovská algebra f

---

Dutch

Wikipedia ^nl

Pronunciation

• Audio

  (file)

Noun

algebra f, m (uncountable)

1. (mathematics) algebra

---

Finnish

Noun

algebra

1. algebra

Declension

Declension of algebra (type katiska) singular plural nominative algebra algebrat genitive algebran algebroiden algebroitten algebrojen algebrain1 partitive algebraa algebroita algebroja accusative algebra algebran algebrat inessive algebrassa algebroissa elative algebrasta algebroista illative algebraan 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.

---

Italian

Wikipedia ^it

Etymology

Same as English algebra.

Pronunciation

• IPA: /al.d͡ʒɛ.ˈbra/

Noun

algebra f (plural algebre)

1. algebra

Related terms

• algebrico
• algebrista

Anagrams

• alberga

---

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

---

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

• IPA: [alˈɡɛbra]

• Audio

  (file)

Noun

algebra f

1. algebra

Declension

    declension of algebra

	singular	plural
nominative	algebra	algebry
genitive	algebry	algebr
dative	algebrze	algebrom
accusative	algebrę	algebry
instrumental	algebrą	algebrami
locative	algebrze	algebrach
vocative	algebro	algebry

Derived terms

• algebraiczny

---

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

---

Spanish

Noun

algebra

1. Common misspelling of álgebra.

---

Swedish

Noun

algebra c

1. (mathematics) algebra

Declension

Declension of algebra

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

Related terms

• algebraisk
• relationsalgebra