This article is cited in 15 papers

On strongly algebraically closed lattices

Ali Molkhasi

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract: In this article some fundamental properties of existentially and algebraically closed lattices are investigated. We also define the notion of strongly algebraically closed lattices and we show that a $q'$-compact complete boolean lattice is strongly algebraically closed.

Keywords: existentially and algebraically closed lattices, strongly algebraically closed lattices, equationally noetherian lattice, complete Boolean algebras.

UDC: 512.562

Received: 01.11.2015
Received in revised form: 05.01.2016
Accepted: 18.02.2016

Language: English

DOI: 10.17516/1997-1397-2016-9-2-202-208

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