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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Kasch, Friedrich (Author), Mader, Adolf (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edition:1st ed. 2009.
Series:Frontiers in Mathematics,
Subjects:
Associative rings.
Associative algebras.
Group theory.
Algebra.
Associative Rings and Algebras.
Group Theory and Generalizations.
Online Access:Texto Completo
Table of Contents:
  • 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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