Category:Algebraic structures

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<nowiki>estructura algebraica; 代數結構; algebrai struktúra; Egitura aljebraiko; מבנה אלגברי; 代数结构; struktur algebra; cấu trúc đại số; algebraische Struktur; Estrutura alxébrica; struchtúr ailgéabrach; алгебарска структура; 代数结构; algebraisk struktur; structură algebrică; 代数的構造; structura algebric; Algebrická štruktúra; algebraisk struktur; Algebarska struktura; estructura algebrica; 代數結構; 代數結構; 代数结构; algebraïsche structuur; 대수 구조; Algebraline struktuur; Strutura algébrica; algebraická struktura; algebarska struktura; struttura algebrica; ബീജീയഘടന; structure algébrique; algebra ogólna; альгебраічная сыстэма; Struktur aljabar; algebrallinen rakenne; ساختار جبری; אלגעברעישע סטרוקטור; estrutura algébrica; estructura algebraica; algebarska struktura; algebrinė struktūra; алгебраїчна система; बीजगणितीय संरचना; алгебарска структура; algebrska struktura; Balarilang pampanandaan; estrutura algébrica; 代数结构; Algebresch Struktur; algebraisk struktur; algebraisk struktur; 代數結構; algebra strukturo; алгебарска структура; алгебраическая система; پێکھاتەی جەبری; algebraic structure; بنية جبرية; αλγεβρική δομή; Algebrala strukturo; mulțime echipată cu una sau mai multe legi de compoziție definite pe ea; 集合に定まっている算法や作用によって決まる構造; structure mathématique munie d'une ou plusieurs opérations finitaires définies sur celle-ci en théorie des catégories; concetto matematico; himpunan dengan satu atau lebih operasi yang bekerja pada himpunan tersebut; zbiór z działaniami; concepte matemàtic de la teoria de categories; 하나 또는 여럿의 유한항 연산을 갖춘 집합; множество с набором операций на нём, удовлетворяющим некоторой системе аксиом; 具备一个或多个有限元运算的集合; Menge versehen mit Verknüpfungen auf dieser Menge; conjunto com uma ou mais operações que obedecem a certos axiomas matemáticos predefinidos; set equipped with one or more finitary operations defined on it; algebrassa yksi tai useampi joukko, jossa on määritelty yksi tai useampi "laskutoimitus"; दिए गए स्वयंसिद्धों का पालन करते हुए संचालन के साथ सेट; estructura matemática con propiedades particulares; sistema algebraico; estructuras algebraicas; structure algebrique; альгебраічная структура; Egitura algebraiko; Estructures algèbriques; Estructures algebraiques; Verknüpfungsgebilde; algebraische Strukturen; universelle Algebra; allgemeine Algebra; Algebra; estruturas algébricas; Algebraska struktura; Алгебарска структура; ساختارهای جبری; ساختمان جبری; 代数系统; Алгебарске структуре; Algebrske strukture; 代数系; 代数構造; מבנים אלגבריים; Balarilang pang-alhebra; Balarilang pang-aldyebra; Grammar of Algebra; Balarilang panpanandaan; PanandaanBalarila; Alhebraikong ekspresyon; Balarilang pangpanandaan; Balarila ng aldyebra; Alhebraikong gramatika; Algebraic grammar; Balarila ng alhebra; Gramatika ng alhebra; Ekspresyong alhebraiko; Algebraic expression; Gramar ng alhebra; Algebraická štruktúra; algebra abstrakcyjna; struktura algebraiczna; Algebraic structure; algebraische structuur; Laukas; Kūnas; Žiedas; Pusgrupė; Monoidas; algebrallinen struktuuri; алгебраїчні структури; алгебрична система; алгебраїчна структура; 대수적 구조; 대수; 보편대수; algebra; universal algebra; بنيه جبريه; Algebraline süsteem; алгебраические системы; алгебраическая структура; алгебраические структуры</nowiki>
algebraic structure 
set equipped with one or more finitary operations defined on it
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Wikidata Q205464
GND ID: 4001166-5
BNCF Thesaurus ID: 17841
NL CR AUT ID: ph118347
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In mathematics, and more specifically in abstract algebra, the term algebraic structure generally refers to a set (called carrier set or underlying set) with one or more finitary operations defined on it that satisfies a list of axioms.[1]

Examples of algebraic structures include groups, rings, fields, and lattices. More complex structures can be defined by introducing multiple operations, different underlying sets, or by altering the defining axioms. Examples of more complex algebraic structures include vector spaces, modules, and algebras.

Subcategories

This category has the following 4 subcategories, out of 4 total.

Media in category "Algebraic structures"

The following 28 files are in this category, out of 28 total.