This article is cited in 3 papers

Strongly algebraically closed lattices in $\ell$-groups and semilattices

Ali Molkhasi

Faculty of Mathematical Sciences, Farhangian University of Tehran, 51666-16471, Iran

Abstract: 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.

UDC: 512.562

Received: 03.08.2017
Received in revised form: 05.11.2017
Accepted: 16.01.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-2-258-263

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