The Ladder Construction of Pruefer Modules

Details The Ladder Construction of Pruefer Modules The Ladder Construction of Pruefer Modules

2007-05-26

arxiv.org/abs/0705.3905v1

Mathematics

Representation Theory

Scientific paper

Let R be a ring (associative, with 1). A non-zero module M is said to be a
Pruefer module provided there exists a surjective, locally nilpotent
endomorphism with kernel of finite length. The aim of this note is construct
Pruefer modules starting from a pair of module homomorphisms w,v: U_0 -> U_1,
where w is injective and its cokernel is of finite length.

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