Strongly Algebraically Closed Lattices in ℓ-groups and Semilattices

Strongly Algebraically Closed Lattices in ℓ-groups and Semilattices

In this article, the properties of being Ко-classes of a full l-group, the set of polars of an l-group, the complemented l-ideals of a complete l-group, the set of invariant elements of a dimension ortholattice, and pseudocomplemented semilattices are studied from the perspective of model theory and...

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Veröffentlicht in:Journal of Siberian Federal University. Mathematics & Physics 2018-01, Vol.11 (2), p.258-263
1. Verfasser: Ali, Molkhasi
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Geometry
Lattice theory
Lattices
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Beschreibung
Zusammenfassung:In this article, the properties of being Ко-classes of a full l-group, the set of polars of an l-group, the complemented l-ideals of a complete l-group, the set of invariant elements of a dimension ortholattice, and pseudocomplemented semilattices are studied from the perspective of model theory and their relations to strongly algebraically closed lattices are obtained.
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2018-11-2-258-263