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Les Algèbres de Chemins de Leavitt by Elahmar-O

Les Algèbres de Chemins de Leavitt

by Elahmar-O
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Book cover type: Paperback
  • ISBN13: 9783841634757
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 72
  • Original Price: GBP 34.0
  • Language: French
  • Edition: N/A
  • Item Weight: 118 grams
  • BISAC Subject(s): General

L'objectif de ce travail est de faire la synthèse de travaux de M. Siles Molina, de G. Aranda Pino et de G. Abrams qui portent sur les algèbres de chemins de Leavitt et qui s'inscrivent dans le cadre de plusieurs études consacrées à ces algèbres. Les algèbres de chemins de Leavitt sont des K-algèbres de chemins associées à des graphes et satisfaisant certaines relations. Elles peuvent ètre considérées comme des géréralisations naturelles des algèbres de Leavitt L(1, n) de type (1, n) introduites et étudiées par Leavitt dans le but de donner des exemples d'algèbres qui ne satisfont pas la propriété IBN, i.e. invariant basis number. Les algèbres de chemins de Leavitt qu'on se propose d'étudier dans ce travail sont une généralisation naturelle des algèbre de Leavitt L(1, n) de type (1, n). Par ailleurs, ces algèbres sont perçues comme une version algébrique des C- algèbres de graphes de Cuntz-Krieger.

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