Some model theory over a nearly simple uniserial domain and decompositions of serial modules
نویسنده
چکیده
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 . MSC: 16D70; 16D99; 03C60
منابع مشابه
Some model theory over an exceptional uniserial ring and decompositions of serial modules
We give an example of a direct summand of a serial module that does not admit an indecomposable decomposition.
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