Neuware -Thisexpositorymonographwaswrittenforthreereasons. Firstly,wewantedto present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the �Krull-SchmidtTheorem� holds for - tinianmodules. Theproblemremainedopenfor63years:itssolution,anegative answer to Krull�s question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). � Secondly, we wanted to present the answer to a question posed by War eld in 1975 [War eld 75]. He proved that every nitely p- sented module over a serial ring is a direct sum of uniserial modules, and asked if such a decomposition was unique. In other words, War eld asked whether the �Krull-Schmidt Theorem� holds for serial modules. The solution to this problem, a negative answer again, appeared in [Facchini 96]. Thirdly, the - lution to War eld�s problem shows interesting behavior, a rare phenomenon in the history of Krull-Schmidt type theorems. Essentially, the Krull-Schmidt Theorem holds for some classes of modules and not for others. When it does hold, any two indecomposable decompositions are uniquely determined up to a permutation, and when it does not hold for a class of modules, this is proved via an example. For serial modules the Krull-Schmidt Theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations. We wanted to present such a phenomenon to a wider ma- ematical audience.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 300 pp. Englisch.

Bestandsnummer des Verk�ufers 9783034803021

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Module Theory
Verlag: Springer Basel, Springer Basel Feb 2012
Ver�ffentlichungsdatum: 2012
Sprache: Englisch
ISBN-10: 3034803028
ISBN-13: 9783034803021
Bindung: Taschenbuch
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

Thisexpositorymonographwaswrittenforthreereasons. Firstly,wewantedto present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-SchmidtTheorem" holds for - tinianmodules. Theproblemremainedopenfor63years:itssolution,anegative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). � Secondly, we wanted to present the answer to a question posed by War?eld in 1975 [War?eld 75]. He proved that every ?nitely p- sented module over a serial ring is a direct sum of uniserial modules, and asked if such a decomposition was unique. In other words, War?eld asked whether the "Krull-Schmidt Theorem" holds for serial modules. The solution to this problem, a negative answer again, appeared in [Facchini 96]. Thirdly, the - lution to War?eld's problem shows interesting behavior, a rare phenomenon in the history of Krull-Schmidt type theorems. Essentially, the Krull-Schmidt Theorem holds for some classes of modules and not for others. When it does hold, any two indecomposable decompositions are uniquely determined up to a permutation, and when it does not hold for a class of modules, this is proved via an example. For serial modules the Krull-Schmidt Theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations. We wanted to present such a phenomenon to a wider ma- ematical audience.

�ber die Autorin bzw. den Autor

Alberto Facchini is a Professor of Mathematics at the University of Padua.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Impressum Thorsten Retsch Buchversand Mimpf2000 Ober�lschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir f�hren gebrauchte B�cher aus allen Sparten der Literatur

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

buchversandmimpf2000
Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Widerrufsbelehrung/ Muster-Widerrufsformular/
Allgemeine Gesch�ftsbedingungen und Kundeninformationen/ Datenschutzerkl�rung

Widerrufsrecht f�r Verbraucher
(Verbraucher ist jede nat�rliche Person, die ein Rechtsgesch�ft zu Zwecken abschlie�t, die �berwiegend weder ihrer gewerblichen noch ihrer selbstst�ndigen beruflichen T�tigkeit zugerechnet werden kann.)

Widerrufsbelehrung

Widerrufsrecht
Sie haben das Recht, binnen vierzehn Tagen ohne Angabe von Gr�nden diesen Vertrag zu widerrufen.
Die Widerru...

Mehr Information

Versandbedingungen

Soweit in der Artikelbeschreibung keine andere Frist angegeben ist, erfolgt die Lieferung der Ware innerhalb von 3-5 Werktagen nach Vertragsschluss, bei Vorauszahlung erst nach Eingang des vollst�ndigen Kaufpreises und der Versandkosten. Alle Preise inkl. MwSt.

Impressum & Info zum Verk�ufer