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On values in relatively normal lattices. (English) Zbl 0872.06008
The authors deal with the class IRN and give other useful constructions in the study of the structure of relatively normal lattices. They introduce the notion of a plenary set of a member of the class IRN, give a characterization of maximal plenary sets and extend a well-known theorem in $$l$$-groups. Finally, they investigate how the properties of the tree associated with any lattice in IRN are reflected in the structure of the lattice.

##### MSC:
 06D05 Structure and representation theory of distributive lattices
##### Keywords:
relatively normal lattices; plenary set; tree
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##### References:
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