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Pure ideals in T-semirings |
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| รหัสดีโอไอ | |
| Title | Pure ideals in T-semirings |
| Creator | Aungkanaporn Chankaew |
| Contributor | Amorn Wasanawichit |
| Publisher | Chulalongkorn University |
| Publication Year | 2559 |
| Keyword | เซมิริง, ริง (พีชคณิต), Semirings (Mathematics), Rings (Algebra) |
| Abstract | In this thesis, we de ne and characterize right pure ideals, left pure ideals, right weakly pure ideals and left weakly pure ideals in T-semirings. We also characterize right weakly regular T-semirings by the properties of right pure ideals. Next, we introduce purely prime, purely semiprime, purely irreducible, strongly irreducible pure and purely maximal ideals in T-semirings and examine their relations. More- over, we can nd relationships between right pure ideals and purely irreducible ideals in T-semirings. Finally, we investigate the properties of right pure ideals and left pure ideals on T-semirings homomorphisms. We also investigate the prop- erties of them in quotient T-semirings and products of T-semirings. |
| URL Website | cuir.car.chula.ac.th |
