GRATIS LIEFERUNG - OHNE MINDESTBESTELLWERT - SICHER BEZAHLEN - GROSSE AUSWAHL - KLEINE PREISE

Dir gefällt dieses Produkt? Sag's weiter!

Beschreibung

High Quality Content by WIKIPEDIA articles! In group theory, a branch of abstract algebra, the Whitehead problem is the following question: Is every abelian group A with Ext1(A, Z) = 0 a free abelian group? Shelah (1974) proved that Whitehead's problem is undecidable within standard ZFC set theory. The condition Ext1(A, Z) = 0 can be equivalently formulated as follows: whenever B is an abelian group and f : B A is a surjective group homomorphism whose kernel is isomorphic to the group of integers Z, then there exists a group homomorphism g : A B with fg = idA. Abelian groups satisfying this condition are sometimes called Whitehead groups, so Whitehead's problem asks: is every Whitehead group free? Caution: The converse of Whitehead's problem, namely that every free abelian group is Whitehead, is a well known group-theoretical fact. Some authors call Whitehead group only a non-free group A satisfying Ext1(A, Z) = 0. Whitehead's problem then asks: do Whitehead groups exist?

Mitwirkende

Herausgeber Lambert M. Surhone

Herausgeber Miriam T. Timpledon

Herausgeber Susan F. Marseken

Produktdetails

DUIN PEHNAUBR0M0

GTIN 9786131191350

Sprache Englisch

Seitenanzahl 68

Produkttyp Taschenbuch

Whitehead Problem

Lambert M. Surhone

CHF 32.65

Verkäufer: Dodax

Lieferdatum: Dienstag, 9. Juni

Zustand: Neu

inklusive MwSt. - GRATIS LIEFERUNG
1
Zum Warenkorb hinzufügen Zum Warenkorb hinzufügen
CHF 32.65
inklusive MwSt. - GRATIS LIEFERUNG