Category:Algebraic structures
 | This is a main category requiring frequent diffusion and maybe maintenance. As many pictures and media files as possible should be moved into appropriate subcategories. |
English: 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. 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.
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.
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Subcategories
This category has the following 6 subcategories, out of 6 total.
Media in category "Algebraic structures"
The following 29 files are in this category, out of 29 total.
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Algebraic structures - magma to group-ar.svg 410 × 371; 224 KB
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Algebraic structures - magma to group.svg 410 × 371; 21 KB
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Algebraic structures.png 1,204 × 732; 69 KB
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Algebraic-structures.png 3,085 × 3,993; 438 KB
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Algebraische structuren - van magma naar group nl.png 1,522 × 896; 56 KB
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Algebraische Strukturen.svg 468 × 451; 255 KB
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Antipode-1.png 413 × 228; 14 KB
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Antipode.png 371 × 244; 12 KB
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Associativity of binary operations (without question marks) with colours.png 2,560 × 1,858; 91 KB
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Associativity of binary operations (without question marks).svg 390 × 283; 30 KB
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Associativity of binary operations.svg 390 × 283; 30 KB
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Commutativity of binary operations.svg 248 × 142; 18 KB
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Composition.png 1,302 × 423; 75 KB
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CoproductPositive.png 1,320 × 355; 61 KB
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DeltaMultiplication.png 1,305 × 333; 41 KB
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E1id.png 1,310 × 438; 42 KB
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F(e1).png 1,300 × 356; 42 KB
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FourierCoproduct.png 1,310 × 380; 54 KB
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Magma to group square.svg 410 × 371; 26 KB
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Magma to group001.svg 410 × 371; 28 KB
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Magma vers groupe.svg 410 × 371; 22 KB
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PlanarDiagram.png 1,257 × 586; 77 KB
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PlanarOperations.png 1,171 × 605; 92 KB
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Principe de la complétion de Knuth-Bendix.svg 201 × 330; 39 KB
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Ring of integers1.svg 61 × 18; 3 KB
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Ring of integers2.svg 512 × 96; 5 KB
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Tangle.png 514 × 512; 31 KB
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TLJ3.png 1,154 × 233; 40 KB
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Übersicht Körper.svg 848 × 656; 50 KB
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