%0 Journal Article
%T The Ladder Construction of Pr¨¹fer Modules
%A Ringel
%A Claus Michael
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2007
%I Uni¨®n Matem¨¢tica Argentina
%X let be a ring (associative, with 1). a non-zero module is said to be a pr¨¹fer module provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length. the aim of this note is to construct pr¨¹fer modules starting from a pair of module homomorphisms , where is injective and its cokernel is of finite length. for the ring of integers, one can construct in this way the ordinary pr¨¹fer groups considered in abelian group theory. our interest lies in the case that is an artin algebra.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322007000200003&lng=en&nrm=iso&tlng=en