Differential tensor algebras and their module categories /

A detailed account of main results in the theory of differential tensor algebras.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bautista, R. (Autor), Salmerón, L. (Autor), Zuazua, R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2009.
Colección:London Mathematical Society Lecture Note Series, 362.
Temas:
Tensor algebra.
Representations of algebras.
Categories (Mathematics)
Algèbre tensorielle.
Représentations des algèbres.
Catégories (Mathématiques)
MATHEMATICS > Algebra > Linear.
Representations of algebras
Tensor algebra
Modulkategorie
Tensoralgebra
Acceso en línea:Texto completo
Tabla de Contenidos:
  • t-algebras and differentials
  • Ditalgebras and modules
  • Bocses, ditalgebras and modules
  • Layered ditalgebras
  • Triangular ditalgebras
  • Exact structures in A-Mod
  • Almost split conflations in A-Mod
  • Quotient ditalgebras
  • Frames and Roiter ditalgebras
  • Product of ditalgebras
  • Hom-tensor relations and dual basis
  • Admissible modules
  • Complete admissible modules
  • Bimodule filtrations
  • Free bimodule filtrations and free ditalgebras
  • AX is a Roiter ditalgebra, for suitable X
  • Examples and applications
  • The exact categories P, P1 and -Mod
  • Passage from ditalgebras
  • Scalar extension and ditalgebras
  • Bimodules
  • Parametrizing bimodules and wildness
  • Nested and seminested ditalgebras
  • Critical ditalgebras
  • Reduction functors
  • Modules over non-wild ditalgebras
  • Tameness and wildness
  • Modules over non-wild ditalgebras revisited
  • Modules over non-wild algebras
  • Absolute wildness
  • Generic modules and tameness
  • Almost split sequences and tameness
  • Varieties of modules over ditalgebras
  • Ditalgebras of partially ordered sets
  • Further examples of wild ditalgebras
  • Answers to selected exercises.

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