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Ideals of Lattice Ordered Monoid

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dc.contributor.advisor Bekele, Berhanu (PhD)
dc.contributor.author Baye, Alemu
dc.date.accessioned 2018-07-11T08:16:31Z
dc.date.available 2018-07-11T08:16:31Z
dc.date.issued 2017-08
dc.identifier.uri http://localhost:80/xmlui/handle/123456789/7920
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Addis Ababa University en_US
dc.subject Ideals of Lattice Ordered Monoid en_US
dc.title Ideals of Lattice Ordered Monoid en_US
dc.type Thesis en_US


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