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Algebra i logika, 2014, Volume 53, Number 3, Pages 372–400 (Mi al640)  
This article is cited in 14 scientific papers (total in 14 papers)

Quasivariety lattices of pointed Abelian groups

A. M. Nurakunov

Institute of Theoretical and Applied Mathematics, National Academy of Science of the Kyrgyz Republic, pr. Chui 265a, Bishkek, 720071, Kyrgyzstan
Full-text PDF (303 kB) Citations (14)
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Abstract: We give a description of quasicritical pointed Abelian groups. It is proved that the quasivariety lattice of pointed Abelian groups is $Q$-universal. We construct a quasivariety lattice of pointed Abelian groups whose set of finite sublattices is uncomputable. It is shown that there exists a continuum of such lattices of quasivarieties.
Keywords: quasivariety of algebras, pointed Abelian group, congruence, congruence lattice, quasivariety lattice, Birkhoff–Mal'tsev problem, uncomputable set.
Received: 28.01.2014
Revised: 23.02.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 3, Pages 238–257
DOI: https://doi.org/10.1007/s10469-014-9286-5
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. M. Nurakunov, “Quasivariety lattices of pointed Abelian groups”, Algebra Logika, 53:3 (2014), 372–400; Algebra and Logic, 53:3 (2014), 238–257
Citation in format AMSBIB
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\paper Quasivariety lattices of pointed Abelian groups
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\pages 372--400
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\pages 238--257
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:67
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