Concept information
Terme préférentiel
associative algebra
Définition
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In mathematics, an associative algebra
A is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field K. The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Associative_algebra)
Concept générique
Concepts spécifiques
- affine Hecke algebra
- Banach algebra
- Clifford algebra
- differential graded algebra
- double affine Hecke algebra
- dual number
- exterior algebra
- flexible algebra
- geometric algebra
- Hall algebra
- Hopf algebra
- multicomplex number
- Poisson algebra
- quaternion algebra
- Ringel-Hall algebra
- Weyl algebra
- [voir toutes les 16 valeurs]
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-LLND57KL-D
Equivalence exacte
en.wikipedia.org
fr.wikipedia.org
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