On ideals of lattice ordered monoids
Milan Jasem (2007)
Mathematica Bohemica
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In the paper the notion of an ideal of a lattice ordered monoid is introduced and relations between ideals of and congruence relations on 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.