KARAKTERISTIK MODUL PROYEKTIF ATAS DAERAH DEDEKIND

Projective module over a ring is a special form of module over a ring. This projective module has a relation with free modules, free torsion modules and flat modules, that is every free module is a projective module and every projective module is flat module. If the ring is an integral domain, the p...

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Main Authors: , Abdul Hadi, , Prof. Dr. Sri Wahyuni, M.S.
格式: Theses and Dissertations NonPeerReviewed
出版: [Yogyakarta] : Universitas Gadjah Mada 2014
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在線閱讀:https://repository.ugm.ac.id/133728/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=74519
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總結:Projective module over a ring is a special form of module over a ring. This projective module has a relation with free modules, free torsion modules and flat modules, that is every free module is a projective module and every projective module is flat module. If the ring is an integral domain, the projective module is free torsion module. However, itâ��s converse is not true. In this paper, we discuss how the characteristic of projective modules if ring is changed be Dedekind domain and module is assumed to be finitely generated.