Some model theory over a nearly simple uniserial domain and decompositions of serial modules
2001
Abstract By a careful investigation of the model theory of modules over a special class of uniserial domains we give some (counter) examples to a decomposition of a serial module. For instance, there is a uniserial module M over a uniserial domain that is not quasi-small. Also, there is a projective non-free countably generated module over the endomorphism ring of M .
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