Regularity and Substructures of Hom

Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 1...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kasch, Friedrich (Autor), Mader, Adolf (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Colección:Frontiers in Mathematics,
Temas:
Associative rings.
Associative algebras.
Group theory.
Algebra.
Associative Rings and Algebras.
Group Theory and Generalizations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Notation and Background
  • Regular Homomorphisms
  • Indecomposable Modules
  • Regularity in Modules
  • Regularity in HomR(A, M) as a One-sided Module
  • Relative Regularity: U-Regularity and Semiregularity
  • Reg(A, M) and Other Substructures of Hom
  • Regularity in Homomorphism Groups of Abelian Groups
  • Regularity in Categories.

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