The ladder construction of Prüfer modules

Ringel CM (2007)
Revista de la Union Matematica Argentina 48(2): 47-65.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Let R be a ring (associative, with 1). A non-zero module M is said to be a Prüfer module provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length. The aim of this note is to construct Prüfer modules starting from a pair of module homomorphisms w,v: U0→U1, where w is injective and its cokernel is of finite length. For R=Z the ring of integers, one can construct in this way the ordinary Prüfer groups considered in abelian group theory. Our interest lies in the case that R is an artin algebra.
Erscheinungsjahr
2007
Zeitschriftentitel
Revista de la Union Matematica Argentina
Band
48
Ausgabe
2
Seite(n)
47-65
ISSN
0041-6932
eISSN
1669-9637
Page URI
https://pub.uni-bielefeld.de/record/2940875

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Ringel CM. The ladder construction of Prüfer modules. Revista de la Union Matematica Argentina. 2007;48(2):47-65.
Ringel, C. M. (2007). The ladder construction of Prüfer modules. Revista de la Union Matematica Argentina, 48(2), 47-65.
Ringel, C. M. (2007). The ladder construction of Prüfer modules. Revista de la Union Matematica Argentina 48, 47-65.
Ringel, C.M., 2007. The ladder construction of Prüfer modules. Revista de la Union Matematica Argentina, 48(2), p 47-65.
C.M. Ringel, “The ladder construction of Prüfer modules”, Revista de la Union Matematica Argentina, vol. 48, 2007, pp. 47-65.
Ringel, C.M.: The ladder construction of Prüfer modules. Revista de la Union Matematica Argentina. 48, 47-65 (2007).
Ringel, Claus Michael. “The ladder construction of Prüfer modules”. Revista de la Union Matematica Argentina 48.2 (2007): 47-65.

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