HUBUNGAN MODUL DEDEKIND DENGAN MODUL PHI MELALUI MODUL INVERTIBEL DAN MODUL PADAT

• Main Authors: , AWAN KURNIADI, , Prof. Dr. Sri Wahyuni, M.S.
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2014
• Subjects: ETD
• Online Access: https://repository.ugm.ac.id/131720/; http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=72223
• Institution: Universitas Gadjah Mada

Let M be a R-module with R is a commutative ring with 1R and let N be a submodule of M. Let S be a multiplicative closed subset R containing no zero divisors of R and T = fs 2 Sjsm = 0 for some m 2 M implies m = 0g. From R and T, a quotient ring of R over T is formed which is denoted as RT . Submodule N of M is said to be invertible if every submodule N have an inverse in M, or for every submodule N in M, there exist an N0 = fx 2 RT jxN Mg such that N0N = M. Furthermore, if every submodules N of M is invertible then M is called Dedekind module. Furthermore from R-moduleM and submodule, a set of all homomorphisms from N to M is formed which is denoted as Hom(N