Some model theory over a nearly simple uniserial domain and decompositions of serial modules

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Some model theory over a nearly simple uniserial domain and decompositions of serial modules

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

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2001

ISSN: 0022-4049

DOI: 10.1016/s0022-4049(00)00140-7