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

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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 2, Pages 202–208
DOI: https://doi.org/10.17516/1997-1397-2016-9-2-202-208 (Mi jsfu477)

This article is cited in 14 scientific papers (total in 14 papers)

On strongly algebraically closed lattices

Ali Molkhasi

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

Full-text PDF (101 kB) Citations (14)

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

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.

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

Bibliographic databases:

Document Type: Article

UDC: 512.562

Language: English

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

Citation in format AMSBIB

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\by Ali~Molkhasi

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\jour J. Sib. Fed. Univ. Math. Phys.

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\pages 202--208

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https://www.mathnet.ru/eng/jsfu/v9/i2/p202

This publication is cited in the following 14 articles:

Gábor Czédli, “Slim patch lattices as absolute retracts and maximal lattices”, Algebra Univers., 85:3 (2024)
Ali Molkhasi, “Strongly algebraically closed MV-algebras”, Zhurn. SFU. Ser. Matem. i fiz., 16:4 (2023), 519–527
Gábor Czédli, Ali Molkhasi, “Absolute Retracts for Finite Distributive Lattices and Slim Semimodular Lattices”, Order, 40:1 (2023), 127
Ali Molkhasi, Zahra Akbari, “STRONGLY ALGEBRAICALLY CLOSED P-SEMILATTICES”, J Math Sci, 271:1 (2023), 31
A. Molkhasi, “Representations of Sheffer stroke algebras and Visser algebras”, Soft Comput., 25:13 (2021), 8533–8538
A. Molkhasi, “Some properties of complete Boolean algebras”, Sahand Commun. Math. Anal., 18:2 (2021), 63–71
A. Molkhasi, K. P. Shum, “Strongly algebraically closed orthomodular near semirings”, Rend. Circ. Mat. Palermo, 69:3 (2020), 803–812
A. Molkhasi, “Rings with strongly algebraically closed lattices”, Ital. J. Pure Appl. Math., 2020, no. 43, 313–319
A. Molkhasi, “Refinable and strongly algebraically closed lattices”, Southeast Asian Bull. Math., 44:5 (2020), 673–680
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
A. Molkhasi, K. P. Shum, “Representations of strongly algebraically closed algebras”, Algebra Discrete Math., 28:1 (2019), 130–143
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

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

Журнал Сибирского федерального университета. Серия "Математика и физика"

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