Geodesic
Strongly algebraically closed lattices in $\ell$-groups and semilattices
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 258-263

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In this article, the properties of being $\aleph_0$-classes of a full $\ell$-group, the set of polars of an $\ell$-group, the complemented $\ell$-ideals of a complete $\ell$-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.
Keywords: strongly algebraically closed lattices, $\ell$-groups, pseudocomplemented semilattices. 
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     author = {Ali Molkhasi},
     title = {Strongly algebraically closed lattices in $\ell$-groups and semilattices},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {258--263},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a15/}
}
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Ali Molkhasi. Strongly algebraically closed lattices in $\ell$-groups and semilattices. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 258-263. http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a15/