|
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)
References:
PDF file
HTML file
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}
Linking options:
http://mi.mathnet.ru/eng/jsfu477 http://mi.mathnet.ru/eng/jsfu/v9/i2/p202
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:
-
Ali Molkhasi, “Strongly algebraically closed lattices in $\ell$-groups and semilattices”, Zhurn. SFU. Ser. Matem. i fiz., 11:2 (2018), 258–263
-
A. Molkhasi, “On strongly algebraically closed orthomodular lattices”, Southeast Asian Bull. Math., 42:1 (2018), 83–88
-
A. Molkhasi, K. P. Shum, “Representations of strongly algebraically closed algebras”, Algebra Discret. Math., 28:1 (2019), 130–143
-
A. Molkhasi, “On some strongly algebraically closed semirings”, J. Intell. Fuzzy Syst., 36:6 (2019), 6393–6400
|
Number of views: |
This page: | 127 | Full text: | 61 | References: | 16 |
|