IDEAL BERTINGKAT
Let be a group and is a ring. be a graded ring if and for all , . The elements of are called homogeneous of degree . If is an ideal of , be graded ideal of if . Then, if is a graded ideal of , is a graded prime ideal if and whenever , then or , and is a graded primary ideal if and whenever , then or...
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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/130022/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=70432 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | Let be a group and is a ring. be a graded ring if and
for all , . The elements of are called homogeneous of
degree . If is an ideal of , be graded ideal of if . Then, if
is a graded ideal of , is a graded prime ideal if and whenever ,
then or , and is a graded primary ideal if and whenever ,
then or , for all . In this final project we discus about
some properties of graded prime ideals and graded primary ideals. Furthermore, if
is a graded prime ideal then is a graded primary ideal, but if is a graded
primary ideal then is not certainly a graded prime ideal. |
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