On Pure-Injective Modules
Some results on pure-injective modules over a commutative ring with 1, proved by Ziegler using model theory, are proved here through algebraic methods. As application of these results we obtain again the structure of indecomposable pure-injective modules over a valuation domain, showing that their elements have constant indicator.
KeywordsCommutative Ring Small Extension Valuation Domain Injective Envelope Limit Height
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