Bekele, Berhanu (PhD)Baye, Alemu2018-07-112023-11-042018-07-112023-11-042017-08http://etd.aau.edu.et/handle/123456789/7920In 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.enIdeals of Lattice Ordered MonoidThesis