The maximal symmetric ring of quotients: path algebras, incidence algebras and bicategories

• Autores: Eduard Ortega Esparza
• Directores de la Tesis: Pere Ara (dir. tes.)
• Lectura: En la Universitat Autònoma de Barcelona ( España ) en 2006
• Idioma: inglés
• Tribunal Calificador de la Tesis: Ángel del Río Mateos (presid.), Francesc Perera Domènech (secret.), Mercedes Siles Molina (voc.), Gene Abrams (voc.), Martin Mathieu (voc.)
• Materias:
  • Matemáticas
    • Álgebra
      • Campos, anillos, álgebras
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• Resumen

  • We study the rings of quotients of nonsingular rings, We turn our attention to the largest two-sided rings of quotients, called "the maximal symmetric ring of quotients". We show some basic algebraic properties and some examples of maximal symmetric ring of quotients. In particular we give the computation of the maximal symmetric ring of quotients for the class of the finite dimensional incidence algebras and path algebras, and the computation of the maximal symmetric ring of quotients for path algebras of locally finite quivers as well. Finally we study the two-sided localizations from a categorical point of view.