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2-Absorbing and weakly 2-absorbing subsemimodules over commutative semirings |
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| รหัสดีโอไอ | |
| Title | 2-Absorbing and weakly 2-absorbing subsemimodules over commutative semirings |
| Creator | Issarapron Thongsomsuk |
| Contributor | Sajee Pianskool |
| Publisher | Chulalongkorn University |
| Publication Year | 2555 |
| Keyword | Semirings (Mathematics), Commutative rings, เซมิริง, ริงสลับที่ |
| Abstract | In this thesis, we study 2-absorbing, weakly 2-absorbing, AG2-absorbing and weakly AG2-absorbing subsemimodules of semimodules over commutative semirings. Those are extended from prime, weakly prime, primary and weakly primary subsemimodules, respectively. Some characterizations of 2-absorbing, weakly 2-absorbing, AG2-absorbing and weakly AG2-absorbing subsemimodules are obtained. Moreover, we investigate relationships between 2-absorbing, weakly 2-absorbing, AG2-absorbing and weakly AG2-absorbing subsemimodules of semimodules over commutative semirings and 2-absorbing, weakly 2-absorbing, AG2-absorbing and weakly AG2-absorbing ideals of the same semirings. Finally, we obtain necessary and sufficient conditions of a semimodule in order to be a top semimodule. |
| URL Website | cuir.car.chula.ac.th |
