Milan Jasem, Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak Technical University, Radlinskeho 9, 812 37 Bratislava, Slovak Republic, e-mail: firstname.lastname@example.org
Abstract: In the paper the notion of an ideal of a lattice ordered monoid $A$ is introduced and relations between ideals of $A$ and congruence relations on $A$ are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.
Keywords: lattice ordered monoid, ideal, normal ideal, congruence relation, dually residuated lattice ordered monoid
Classification (MSC2000): 06F05
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