SyaifulAmin (2010) Ideal Prima dan Ideal Semiprima dari T-Semiring. Sarjana thesis, Universitas Brawijaya.
Abstract
Konsep -semiring telah diperkenalkan oleh Rao (1995). Skripsi ini memperkenalkan konsep ideal prima dan ideal semiprima dari -semiring yang dipelajari melalui semiring operator kiri dari semiring. Misalkan adalah -semiring dan semiring operator kiri. Jika adalah ideal prima (semiprima) dari semiring operator kiri maka adalah ideal prima (semiprima) dari -semiring . Kemudian, jika adalah ideal prima (semiprima) dari -semiring maka adalah ideal prima (semiprima) dari semiring operator kiri . Selanjutnya, misalkan adalah -semiring semiring operator kiri, maka terdapat suatu pemetaan isomorfik diantara semua himpunan ideal prima (semiprima) dari dan semua himpunan ideal prima (semiprima) dari .
English Abstract
The concept of a -semirings was introduced by Rao (1995). This final project introduces the concept of a prime ideal and semiprime ideal of semirings and study them via left operator semirings of semiring. Let is a -semirings and left operator semirings. If is a prime (semiprime) ideal of left operator semirings , then is also prime (semiprime) ideal of -semirings . Moreover, if is a prime (semiprime) of -semirings , then is prime (semiprime) ideal of left operator semirings . Furthermore, let is a -semirings and left operator semirings, then there exist an isomorphics mapping between the set of all prime (semiprime) ideals of -semirings and the set of all prime (semiprime) ideals of left operator semirings .
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2010/62/051000620 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Unnamed user with email repository.ub@ub.ac.id |
| Date Deposited: | 17 Mar 2010 09:37 |
| Last Modified: | 22 Oct 2021 06:59 |
| URI: | http://repository.ub.ac.id/id/eprint/152523 |
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