Journal of Siberian Federal University. Mathematics & Physics / Strongly Algebraically Closed Lattices in ℓ-groups and Semilattices

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (2)
Authors
Molkhasi, Ali
Contact information
Molkhasi, Ali: Faculty of Mathematical Sciences Farhangian University of Tehran, 51666-16471 Iran;
Keywords
strongly algebraically closed lattices; ℓ-groups; pseudocomplemented semilattices
Abstract

In this article, the properties of being @0-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.

Pages
258–263
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/71099