JP Journal of Algebra, Number Theory and Applications
Volume 27, Issue 2, Pages 169 - 179
(December 2012)
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ON CLOSED SUBMODULES OF A FINITE RANK FREE MODULE OVER A COMPLETE DVR
Hanni Garminia, Gantina Rahmaputri and Pudji Astuti
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Abstract: Fuhrmann [1] introduced the complete notion of a subspace of formal series in terms of an algebraic condition connected to certain projection. In this paper, we show that this algebraic condition can be adapted to obtain a characterization of closed submodules of a finite rank free module over a complete discrete valuation domain (DVR). |
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