Ideals of Lattice Ordered Monoid

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dc.contributor.advisorBekele, Berhanu (PhD)
dc.contributor.authorBaye, Alemu
dc.date.accessioned2018-07-11T08:16:31Z
dc.date.accessioned2023-11-04T12:30:48Z
dc.date.available2018-07-11T08:16:31Z
dc.date.available2023-11-04T12:30:48Z
dc.date.issued2017-08
dc.description.abstractIn 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.en_US
dc.identifier.urihttp://etd.aau.edu.et/handle/123456789/7920
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectIdeals of Lattice Ordered Monoiden_US
dc.titleIdeals of Lattice Ordered Monoiden_US
dc.typeThesisen_US

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