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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| 格式: | Article NonPeerReviewed |
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[Yogyakarta] : Universitas Gadjah Mada
2002
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| 在線閱讀: | https://repository.ugm.ac.id/23802/ http://i-lib.ugm.ac.id/jurnal/download.php?dataId=6763 |
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| 機構: | Universitas Gadjah Mada |
| 總結: | 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. |
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