HUBUNGAN MODUL DEDEKIND DENGAN MODUL PHI MELALUI MODUL INVERTIBEL DAN MODUL PADAT
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 . Submodu...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: | |
| 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 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | 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 |
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