MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS

The intriguing properties of modules over discrete valuation domain have been discussed in various studies, one of which is that the multiplication module over a discrete valuation domain is indecomposable. From this unique property, a classification of weak and pure multiplication modules over d...

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Bibliographic Details
Main Author: Nurhalimah, Luthfia
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/79757
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:The intriguing properties of modules over discrete valuation domain have been discussed in various studies, one of which is that the multiplication module over a discrete valuation domain is indecomposable. From this unique property, a classification of weak and pure multiplication modules over discrete valuation domain is derived. On the other hand, a DVR is the localization of a Dedekind domain. With this connection weak multiplication modules over Dedekind domain have been classified. In this thesis we examine the characteristics of discrete valuation domain and the properties of pure multiplication modules over discrete valuation domain, which collectively contribute to the properties of pure multiplication modules over Dedekind domain.