On Semiprime Multiplication Modules over Pullback Rings (original) (raw)

Communications in Algebra, 2013

Abstract

We make the general point that over most rings it is impossible to classify all modules: even algebras of tame representation type typically are “wild” when their infinitely generated representations are considered. In particular one is interested in the classification of certain “significant” modules rather than in arbitrary modules; the pure-injective modules seem to form such a class of modules which arise in practice and where there is hope of some kind of classification. Pure-injective modules play a central role in the model theory of modules: for example classification of ...

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