Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series
ABSTRACT Let S be a strictly ordered monoid and R be a ring with an identity element. In this thesis we study some properties of Artinian ordered set and Notherian ordered set of support of functions from S to R. The structure is used to construct the ring of generalized power series A = [[R51], tha...
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| Format: | Article |
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[Yogyakarta] : Universitas Gadjah Mada
2002
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| _version_ | 1797018928063447040 |
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| author | Perpustakaan UGM, i-lib |
| author_facet | Perpustakaan UGM, i-lib |
| author_sort | Perpustakaan UGM, i-lib |
| collection | UGM |
| description | ABSTRACT
Let S be a strictly ordered monoid and R be a ring with an identity element. In this thesis we study some properties of Artinian ordered set and Notherian ordered set of support of functions from S to R. The structure is used to construct the ring of generalized power series A = [[R51], that is more general than the formalized power series ring R[[X]].
Furthermore, in this thesis we will investigate the condition of A = [[Rsl] to be an integral domain, a primary ring. Then start learning the nilpotent elements of A=[[Rsl] , as well as determining the conditions of A =[[Rs,I] to be a reduced ring.
Key words : ordered monoid, prime ideal, primary ideal, nilpotent element. |
| first_indexed | 2024-03-13T18:51:50Z |
| format | Article |
| id | oai:generic.eprints.org:23802 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T18:51:50Z |
| publishDate | 2002 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:238022014-06-18T00:32:17Z https://repository.ugm.ac.id/23802/ Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series Perpustakaan UGM, i-lib Jurnal i-lib UGM ABSTRACT Let S be a strictly ordered monoid and R be a ring with an identity element. In this thesis we study some properties of Artinian ordered set and Notherian ordered set of support of functions from S to R. The structure is used to construct the ring of generalized power series A = [[R51], that is more general than the formalized power series ring R[[X]]. Furthermore, in this thesis we will investigate the condition of A = [[Rsl] to be an integral domain, a primary ring. Then start learning the nilpotent elements of A=[[Rsl] , as well as determining the conditions of A =[[Rs,I] to be a reduced ring. Key words : ordered monoid, prime ideal, primary ideal, nilpotent element. [Yogyakarta] : Universitas Gadjah Mada 2002 Article NonPeerReviewed Perpustakaan UGM, i-lib (2002) Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series. Jurnal i-lib UGM. http://i-lib.ugm.ac.id/jurnal/download.php?dataId=6763 |
| spellingShingle | Jurnal i-lib UGM Perpustakaan UGM, i-lib Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title | Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title_full | Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title_fullStr | Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title_full_unstemmed | Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title_short | Syarat Perlu Dan Cukup Elemen Nilpoten Dalam Ring Deret Pangkat = The Necessary And Sufficient Conditions For Nilpotent Elements In Ring Of Generalized Power Series |
| title_sort | syarat perlu dan cukup elemen nilpoten dalam ring deret pangkat the necessary and sufficient conditions for nilpotent elements in ring of generalized power series |
| topic | Jurnal i-lib UGM |
| work_keys_str_mv | AT perpustakaanugmilib syaratperludancukupelemennilpotendalamringderetpangkatthenecessaryandsufficientconditionsfornilpotentelementsinringofgeneralizedpowerseries |