Aljabar

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Aljabar elementer mengkaji nilai-nilai manakah yang menyelesaikan persamaan menggunakan operasi aritmetika.

Aljabar abstrak mengkaji struktur aljabar, seperti gelanggang bilangan bulat yang berupa himpunan dari bilangan bulat

(\mathbb {Z} )

bersamaan dengan dua operasi: penambahan (

+

) dan perkalian (

\times

).

Aljabar panèka cabang matematika sè ajhâr sistem abstrak târtanto, sè èkennal mènangka stroktor aljabar, bân manipulasi ungkabhân ḍâlem sistem panèka. Aljabar panèka bhângon aritmatika umum sè aghâbây variabel bân operasi aljabar salaèn operasi aritmatika standar akaḍhi tamba'an bân kalèyan.

Pângartèyan bân Etimologi

Aljabar iyâ arèya cabang matematika sè ajhâr stroktor aljabar bân operasi sè èghuna'aghi.^[1] Strotorr aljabar è ḍinna' artèna himpunan tak kosong sè aropa objek matematika akaḍhi bilangan bulat, èbhârengè operasi aljabar sè èdèfinisi'aghi è himpunan jârèya akaḍhi tamba'an bân kalèyan.^[2] Aljabar ajhâr ḍâ' hokom, karakteristik omom, bân jenins stroktor aljabar. È ḍâlem strotor aljabar târtanto, aljabar èparèksa ghunana variabel è ḍâlem persamaan bân cara manipulasi persamaan kasebbhut.^[3]

oca' "aljabar" kaḍhâng èghuna'aghi ḍâlem artè sè lebbi semma', amaksoḍ namong aljabar ḍasar otabâ namong aljabar abstrak.^[4] Manabi istilah panèka èghuna'aghi mènangka countable noun [ en ] ), aljabar èyartè'aghi è ḍinna ' mènangka jennis stroktor aljabar sè èbâgi ḍâ ' ruang vektor sè èlengkapaghi kalabân jenis operasi biner târtanto.^[5] Salaèn jârèya, oca' "aljabar" bisa amaksoḍ ḍâ' stroktorr aljabar laènna târghântong ḍâri konteks, akaḍhi aljabar Lie otabâ aljabar asosiatif. ^[6]

Sombher

↑ Merzlyakov, Yu. I.; Shirshov, A. I. (2020). "Algebra(2)" Encyclopedia of Mathematics. Springer. È arsip ḍâri sè aslih tangghâl April 7, 2023. Èaksès 2025-12-27.
↑ Fiche, Georges; Hebuterne, Gerard (2013). Mathematics for Engineers (ḍâlem bhâsa Inggris). John Wiley & Sons. ISBN 978-1-118-62333-6 Èaksès 2025-12-27.
↑ Baranovich, T. M. (2023). "Algebraic Operation" Diarsipkan 2023-08-23 di Wayback Machine.. Encyclopedia of Mathematics. Springer. Èaksès 2025-12-27.
↑ Pratt 2022 Lead section, § 1. Elementary Algebra, § 2. Abstract Algebra, § 3. Universal AlgebraMerzlyakov & Shirshov 2020, § The Subject Matter of Algebra, Its Principal Branches and Its Connection with Other Branches of Mathematics.
↑ Higham, Nicholas J. (2019). Handbook of Writing for the Mathematical Sciences(ḍâlem bhâsa Inggris) (Edisi 3). SIAM. ISBN 978-1-61197-610-6. Èaksès 2025-12-27.
↑ Library of Congress. Library of Congress Classification: Class Q - Science (PDF). Library of Congress. Èaksès 2025-12-27.

[1] Merzlyakov, Yu. I.; Shirshov, A. I. (2020). "Algebra(2)" Encyclopedia of Mathematics. Springer. È arsip ḍâri sè aslih tangghâl April 7, 2023. Èaksès 2025-12-27.

[2] Fiche, Georges; Hebuterne, Gerard (2013). Mathematics for Engineers (ḍâlem bhâsa Inggris). John Wiley & Sons. ISBN 978-1-118-62333-6 Èaksès 2025-12-27.

[3] Baranovich, T. M. (2023). "Algebraic Operation" Diarsipkan 2023-08-23 di Wayback Machine.. Encyclopedia of Mathematics. Springer. Èaksès 2025-12-27.

[4] Pratt 2022 Lead section, § 1. Elementary Algebra, § 2. Abstract Algebra, § 3. Universal AlgebraMerzlyakov & Shirshov 2020, § The Subject Matter of Algebra, Its Principal Branches and Its Connection with Other Branches of Mathematics.

[5] Higham, Nicholas J. (2019). Handbook of Writing for the Mathematical Sciences(ḍâlem bhâsa Inggris) (Edisi 3). SIAM. ISBN 978-1-61197-610-6. Èaksès 2025-12-27.

[6] Library of Congress. Library of Congress Classification: Class Q - Science (PDF). Library of Congress. Èaksès 2025-12-27.

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