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Algebra i logika, 2001, Volume 40, Number 6, Pages 685–697 (Mi al242)  
This article is cited in 10 scientific papers (total in 10 papers)

Decompositions in Complete Lattices

M. V. Semenova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1233 kB) Citations (10)
Abstract: We give descriptions of lattices that have (unique) irredundant decompositions and decompositions with the replacement property in a class of fully join semidistributive upper continuous lattices and in a class of upper and lower continuous lattices. In particular, it is stated that unique irredundant decompositions in the classes in question coincide with minimal.
Keywords: lattice, semidistributive upper lattice, upper continuous lattice, upper and lower continuous lattice, irredundant decomposition.
Received: 14.04.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 6, Pages 384–390
DOI: https://doi.org/10.1023/A:1013703825890
Bibliographic databases:
UDC: 512.56
Language: Russian
Citation: M. V. Semenova, “Decompositions in Complete Lattices”, Algebra Logika, 40:6 (2001), 685–697; Algebra and Logic, 40:6 (2001), 384–390
Citation in format AMSBIB
\Bibitem{Sem01}
\by M.~V.~Semenova
\paper Decompositions in Complete Lattices
\jour Algebra Logika
\yr 2001
\vol 40
\issue 6
\pages 685--697
\mathnet{http://mi.mathnet.ru/al242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918525}
\zmath{https://zbmath.org/?q=an:1011.06008}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 6
\pages 384--390
\crossref{https://doi.org/10.1023/A:1013703825890}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24344504615}
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    Cycle of papers
    This publication is cited in the following 10 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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