Pratama, Harun Mega (2018) Ideal I - Prima. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini, diperkenalkan perluasan baru dari ideal prima lemah yang disebut ideal - prima. Misalkan adalah ring komutatif dengan elemen satuan dan adalah ideal dari . Ideal sejati dari disebut ideal - prima jika untuk setiap ∈ dengan ∈ − , maka berlaku ∈ atau ∈ . Akan disajikan beberapa sifat dari ideal - prima dan mempelajari bentuknya. Selain itu, akan disajikan kondisi di mana ideal - prima menjadi ideal prima atau ideal prima lemah dan mengkontruksikan ideal - prima dalam ring yang terdekomposisi.
English Abstract
In this essay, we introduce a new generalization of weakly prime ideals called -prime ideal. Suppose is a commutative ring with identity and a fixed ideal of . A proper ideal of is -prime ideal if for all , ∈ with ∈ − implies ∈ or ∈ . We give some characterizations of -prime ideal and study some of its properties. Moreover, we give conditions under which -prime ideal becomes prime ideal or weakly prime ideal and we construct the view of -prime ideal in decomposite rings.
Other obstract
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| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2018/319/051807372 |
| Uncontrolled Keywords: | ideal prima, ideal prima lemah, almost prime ideal, radikal dari ideal, ideal �-prima., prime ideal, weakly prime ideal, almost prime ideal, radical of the ideal, �- prime ideal. |
| Subjects: | 500 Natural sciences and mathematics > 512 Algebra |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 20 Aug 2019 07:32 |
| Last Modified: | 28 Oct 2021 03:31 |
| URI: | http://repository.ub.ac.id/id/eprint/168520 |
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