Wir verwenden Cookies und Analyse-Tools, um die Nutzerfreundlichkeit der Internet-Seite zu verbessern und für Marketingzwecke. Wenn Sie fortfahren, diese Seite zu verwenden, nehmen wir an, dass Sie damit einverstanden sind. Zur Datenschutzerklärung.
Snake Lemma
CHF 37.20
Auf Lager
SKU
7K79Q8V5Q7N
1 Verfügbar 
Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The maps between the kernels and the maps between the cokernels are induced in a natural manner by the given maps because of the diagram''s commutativity. The exactness of the two induced sequences follows in a straightforward way from the exactness of the rows of the original diagram. The important statement of the lemma is that a connecting homomorphism d exists which completes the exact sequence. In the case of abelian groups or modules over some ring, the map d can be constructed as follows. Pick an element x in ker c and view it as an element of C; since g is surjective, there exists y in B with g(y) = x. Because of the commutativity of the diagram, we have g''(b(y)) = c(g(y)) = c(x) = 0 (since x is in the kernel of c), and therefore b(y) is in the kernel of g'' . Since the bottom row is exact, we find an element z in A'' with f ''(z) = b(y). We then define d(x) = z + im(a). Now one has to check that d is well-defined.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130424619
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B220mm
- EAN 9786130424619
- Format Fachbuch
- Titel Snake Lemma
- Herausgeber Betascript Publishing
- Anzahl Seiten 64
- Genre Mathematik
Bewertungen
Schreiben Sie eine Bewertung
