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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1111–1132 (Mi smj2334)  
This article is cited in 9 scientific papers (total in 9 papers)

Lattices of subclasses

M. V. Semenovaab, A. Zamojska-Dzienioc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
c Warsaw University of Technology, Warsaw, Poland
Full-text PDF (395 kB) Citations (9)
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Abstract: We investigate the structure of lattices of subclasses of different types; among those are relative sub(quasi)variety lattices as well as relative (finitary) subprevariety lattices. Among other results, we prove a reduction theorem for (finitary) subprevariety lattices which generalizes a result of V. A. Gorbunov. We also answer a question by D. E. Palchunov and provide some noncomputability properties of lattices of relative subclasses.
Keywords: axiomatizable class, variety, quasivariety, prevariety, identity, quasi-identity, latticeю.
Received: 02.04.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 889–905
DOI: https://doi.org/10.1134/S003744661205014X
Bibliographic databases:
Document Type: Article
UDC: 512.56+512.57+510.53
Language: Russian
Citation: M. V. Semenova, A. Zamojska-Dzienio, “Lattices of subclasses”, Sibirsk. Mat. Zh., 53:5 (2012), 1111–1132; Siberian Math. J., 53:5 (2012), 889–905
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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