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Regularity and Substructures of Hom

BuchKartoniert, Paperback
164 Seiten
Englisch
Springererschienen am16.01.2009
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]).mehr
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BuchKartoniert, Paperback
EUR53,45
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Produkt

KlappentextRegular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]).
ZusammenfassungThis book generalizes the well-known regularity of ring elements to regularity of homomorphisms in module categories. It characterizes regular homomorphisms in terms of decompositions of domain and codomain, and presents numerous other results.
Details
ISBN/GTIN978-3-7643-9989-4
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2009
Erscheinungsdatum16.01.2009
ReiheFrontiers in Mathematics
Seiten164 Seiten
SpracheEnglisch
Gewicht326 g
IllustrationenXV, 164 p.
Artikel-Nr.11703989

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
From the reviews:
"This book is dedicated to generalizations of regularity for an Abelian group ... . contains an excellent and detailed exposition of results on all types of regularity in Hom with consequences for modules and rings. It is accessible, with all necessary definitions and proofs, contains also a series of instructive examples. ... interest both for students and specialists." (A. I. Kashu, Zentralblatt MATH, Vol. 1169, 2009)mehr