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Revista de la Unión Matemática Argentina
versão impressa ISSN 0041-6932versão On-line ISSN 1669-9637
Resumo
RINGEL, Claus Michael. The Ladder Construction of Prüfer Modules. Rev. Unión Mat. Argent. [online]. 2007, vol.48, n.2, pp.47-65. ISSN 0041-6932.
Let be a ring (associative, with 1). A non-zero module
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
, where
is injective and its cokernel is of finite length. For
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
is an artin algebra.
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