Muzdalifah, - (2017) Ideal-Ideal Prima Pada Boolean Like Semiring. Sarjana thesis, Universitas Brawijaya.
Abstract
Konsep mengenai ring telah banyak berkembang salah satunya adalah boolean like semiring. Boolean like semiring merupakan suatu perluasan dari teori boolean like ring. Seiring berkembangnya konsep ring, teori mengenai ideal ring juga mengalami perkembangan. Pada boolean like semiring terdapat jenis-jenis ideal prima dimana definisi ideal-ideal prima tersebut analog dengan ideal-ideal prima pada ring. Jenis-jenis ideal prima pada boolean like semiring tersebut kemudian diperumum menjadi bentuk-bentuk ideal prima lemah, ideal primary lemah, ideal 2–absorbing, dan ideal 2-absorbing lemah. merupakan ideal prima lemah jika ideal primary lemah dan ideal semi prima dari . merupakan ideal primary lemah jika dan hanya jika √ atau , untuk setiap . merupakan ideal 2-absorbing jika ideal semi prima dan ideal primary 2-absorbing, dan jika ideal prima 2-poten dari komutatif lemah. merupakan ideal 2-absorbing lemah jika ideal prima lemah dari .
English Abstract
The concept of rings have developed, one of which is a boolean like semiring. Boolean like semiring is an extension of the theory of boolean like rings. As the development of the concept of rings, ring ideal theory is also progressing. Boolean like semi rings has some kinds of prime ideals which are the notions analogous to the notions of prime ideals in rings. Then these kinds of prime ideals in boolean like semi rings also generalized into some ideals which are weakly prime ideals, weakly primary ideal, 2-absorbing ideal, and weakly 2-absorbing ideal. These ideals also formed characteristics of weakly prime ideals, weakly primary ideal, 2-absorbing ideal, and weakly 2-absorbing ideal. Ideal is called weakly prime if it is weakly primary and semi prime ideal of . Ideal is called weakly primary if and only if √ or , for any . Ideal is called 2-absorbing if it is semi prime and primary 2-absorbing ideal, and if it is 2-potent prime ideal of weak commutative . Ideal is called weakly 2-absorbing if it is weakly prime ideal of .
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/FMIPA/2017/471/051709810 |
| Uncontrolled Keywords: | Boolean like semiring, ideal prima lemah, ideal primary lemah, ideal 2-absorbing, ideal 2-absorbing lemah. |
| Subjects: | 500 Natural sciences and mathematics > 512 Algebra > 512.4 Rings |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 01 Nov 2017 03:20 |
| Last Modified: | 18 Nov 2021 03:28 |
| URI: | http://repository.ub.ac.id/id/eprint/4676 |
Preview |
Text
BAB III.pdf Download (631kB) | Preview |
Preview |
Text
DAFTAR PUSTAKA.pdf Download (178kB) | Preview |
Preview |
Text
BAB II.pdf Download (491kB) | Preview |
Preview |
Text
cover.pdf Download (27kB) | Preview |
Preview |
Text
BAB IV.pdf Download (201kB) | Preview |
Preview |
Text
BAGIAN DEPAN.pdf Download (551kB) | Preview |
Preview |
Text
ARTIKEL SKRIPSI.pdf Download (365kB) | Preview |
Preview |
Text
BAB I.pdf Download (92kB) | Preview |
Actions (login required)
 |
View Item |