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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 2, Pages 202–208 (Mi jsfu477)  
This article is cited in 4 scientific papers (total in 4 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.

DOI: https://doi.org/10.17516/1997-1397-2016-9-2-202-208

Full text: PDF file (101 kB)
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Bibliographic databases:

UDC: 512.562
Received: 01.11.2015
Received in revised form: 05.01.2016
Accepted: 18.02.2016
Language:

Citation: Ali Molkhasi, “On strongly algebraically closed lattices”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 202–208

Citation in format AMSBIB
\Bibitem{Mol16}
\by Ali~Molkhasi
\paper On strongly algebraically closed lattices
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 2
\pages 202--208
\mathnet{http://mi.mathnet.ru/jsfu477}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-2-202-208}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412008200009}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Ali Molkhasi, “Strongly algebraically closed lattices in $\ell$-groups and semilattices”, Zhurn. SFU. Ser. Matem. i fiz., 11:2 (2018), 258–263  mathnet  crossref
    2. A. Molkhasi, “On strongly algebraically closed orthomodular lattices”, Southeast Asian Bull. Math., 42:1 (2018), 83–88  mathscinet  zmath  isi
    3. A. Molkhasi, K. P. Shum, “Representations of strongly algebraically closed algebras”, Algebra Discret. Math., 28:1 (2019), 130–143  mathscinet  isi
    4. A. Molkhasi, “On some strongly algebraically closed semirings”, J. Intell. Fuzzy Syst., 36:6 (2019), 6393–6400  crossref  isi  scopus
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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