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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 199–208 (Mi timm562)  
This article is cited in 1 scientific paper (total in 1 paper)

On the representation of lattices by congruence lattices of semigroups

A. L. Popovich, V. B. Repnitskii

Ural State University
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Abstract: It is proved that every distributive algebraic lattice such that its compact elements form a lattice with unit can be represented as a congruence lattice for an appropriate semigroup.
Keywords: algebraic lattice, distributive lattice, congruence lattice, semigroup.
Received: 22.12.2009
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. L. Popovich, V. B. Repnitskii, “On the representation of lattices by congruence lattices of semigroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 199–208
Citation in format AMSBIB
\Bibitem{PopRep10}
\by A.~L.~Popovich, V.~B.~Repnitskii
\paper On the representation of lattices by congruence lattices of semigroups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 199--208
\mathnet{http://mi.mathnet.ru/timm562}
\elib{https://elibrary.ru/item.asp?id=14809456}
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  • https://www.mathnet.ru/eng/timm/v16/i2/p199
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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