Alemu, Baye (2017) Ideals of Lattice Ordered Monoid. Masters thesis, Addis Ababa University.
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Abstract
In this project the notion of an ideal of a lattice ordered monoid A is introduced. The notion of congruence relations on a lattice ordered monoid (l-monoid) A is also introduced and its relation with ideals of A is investigated. In addition, we will introduce the notion of normal ideals of lattice ordered monoid and dually residuated lattice ordered monoid (DRl-monoid) in order to study their connection with congruence relations. The ideal induced by congruence relations on an lmonoid need not be normal. By imposing additional conditions on the congruence relations on a DRl-monoid, we will prove that the induced ideal will be normal.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 19 Jun 2018 13:40 |
| Last Modified: | 19 Jun 2018 13:40 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/4664 |
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