Geodesic
On ideals of lattice ordered monoids
Mathematica Bohemica, Tome 132 (2007) no. 4, pp. 369-387

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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.
DOI : 10.21136/MB.2007.133965
Classification : 06F05
Keywords: lattice ordered monoid; ideal; normal ideal; congruence relation; dually residuated lattice ordered monoid 
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Jasem, Milan. On ideals of lattice ordered monoids. Mathematica Bohemica, Tome 132 (2007) no. 4, pp. 369-387. doi: 10.21136/MB.2007.133965

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