From Objects to Diagrams for Ranges of Functors

This work introduces tools from the field of category theory that make it possible to tackle a number of representation problems that have remained unsolvable to date (e.g. the determination of the range of a given functor). The basic idea is: if a functor lifts many objects, then it also lifts many...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gillibert, Pierre (Autor), Wehrung, Friedrich (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes in Mathematics, 2029
Temas:
Algebra.
Algebra, Homological.
Universal algebra.
Mathematical logic.
K-theory.
Category Theory, Homological Algebra.
General Algebraic Systems.
Order, Lattices, Ordered Algebraic Structures.
Mathematical Logic and Foundations.
K-Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Background
  • 2 Boolean Algebras Scaled with Respect to a Poset
  • 3 The Condensate Lifting Lemma (CLL)
  • 4 Larders from First-order Structures
  • 5 Congruence-Preserving Extensions
  • 6 Larders from von Neumann Regular Rings
  • 7 Discussion.

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