Anggraini, Rosalina (2014) Graded Ideal Semiprima. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini dibahas mengenai graded ideal semiprima dari -graded ring komutatif dengan elemen identitas tak nol. Suatu -graded ring komutatif dengan elemen identitas tak nol didefinisikan sebagai direct sum subgrup-subgrup aditif sebanyak order grup dari ring komutatif dengan elemen identitas tak nol dan memenuhi syarat tertentu, sedangkan graded ideal didefinisikan sebagai direct sum irisan ideal dengan subgrup aditif sebanyak order grup dari ring komutatif dengan elemen identitas tak nol. Suatu graded ideal adalah graded ideal semiprima jika dan hanya jika graded ring faktor dari -graded ring oleh graded ideal-nya tidak memiliki elemen nilpoten tak nol.
English Abstract
In this paper, we observe about semiprime graded ideals of commutative -graded rings with non zero identity. A commutative -graded rings with non zero identity is defined as a direct sum of some additive subgroups whose order from commutative rings with non zero identity and satisfy certain conditions, whereas graded ideals is defined as a direct sum of ideals intersection and additive subgroups whose order from commutative rings with non zero identity. A graded ideals is called semiprime graded ideals if and only if the quotient graded rings from -graded rings by their graded ideals have no nonzero nilpotent elements.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2014/136/051402517 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 05 May 2014 07:44 |
| Last Modified: | 25 Oct 2021 02:58 |
| URI: | http://repository.ub.ac.id/id/eprint/153755 |
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