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Home > Art, Film & Photography > Ideal: Spectre D'Anneau, Ideal Premier, Anneau Quotient, Ideal Maximal, Theoreme de Krull, Ideal Principal, Radical D'Un Ideal
Ideal: Spectre D'Anneau, Ideal Premier, Anneau Quotient, Ideal Maximal, Theoreme de Krull, Ideal Principal, Radical D'Un Ideal

Ideal: Spectre D'Anneau, Ideal Premier, Anneau Quotient, Ideal Maximal, Theoreme de Krull, Ideal Principal, Radical D'Un Ideal


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About the Book

Les achats comprennent une adhesion a l'essai gratuite au club de livres de l'editeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur: Spectre D'anneau, Ideal Premier, Anneau Quotient, Ideal Maximal, Theoreme de Krull, Ideal Principal, Radical D'un Ideal. Non illustre. Mises a jour gratuites en ligne. Extrait: En mathematiques, un ideal est une structure algebrique definie dans un anneau. Les ideaux generalisent de facon feconde l'etude de la divisibilite pour les entiers. Il est ainsi possible d'enoncer des versions tres generales de theoremes d'arithmetique tels que le theoreme des restes chinois ou le theoreme fondamental de l'arithmetique, valables pour les ideaux. On peut aussi comparer cette notion a celle de sous-groupe distingue pour la structure algebrique de groupe en ce sens qu'elle permet de definir la notion d'anneau quotient. La theorie des ideaux est relativement recente puisque elle fut creee par Richard Dedekind vers la fin du XIX siecle. A cette epoque, une partie de la communaute mathematique s'interesse aux nombres algebriques et plus particulierement aux entiers algebriques. La question est de savoir si les entiers algebriques se comportaient comme les entiers relatifs, en particulier la decomposition en facteurs premiers de maniere unique. Il semblait bien, des le debut du XIX siecle, que cela n'etait pas toujours le cas: 6 par exemple pouvant se decomposer dans l'anneau sous la forme ou sous la forme Ernst Kummer pressent alors que cela va dependre des nombres en question et invente la notion de nombres complexes ideaux. L'idee est de rendre unique la decomposition en facteurs premiers en ajoutant artificiellement d'autres nombres (de la meme maniere qu'on ajoute i aux nombres reels tel que afin de disposer de nombres aux carres negatifs). Dans l'exemple ci-dessus, on va "inventer" quatre nombres "ideaux" a, b, c et d tels que ...http: //booksllc.net/?l=fr


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Product Details
  • ISBN-13: 9781159500191
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 42
  • Spine Width: 3 mm
  • Weight: 77 gr
  • ISBN-10: 1159500193
  • Publisher Date: 29 Jul 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Spectre D'Anneau, Ideal Premier, Anneau Quotient, Ideal Maximal, Theoreme de Krull, Ideal Principal, Radical D'Un Ideal
  • Width: 229 mm


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