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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 1, Pages 148–181
DOI: https://doi.org/10.1070/SM1972v017n01ABEH001495 (Mi sm3150) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Complements in the lattice of congruences

L. A. Skornyakov
English version PDF (1831 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1972v017n01ABEH001495
Abstract: Several theorems are proved concerning the structure of universal algebras whose lattice of congruences is complemented. Among the corollaries are the semigroup results of Grappy. Under rather weak supplementary conditions it is established that the existence of complements in the lattice of congruences implies, both for the algebra itself and all its factor algebras, distributivity of these lattices.
Bibliography: 6 titles.
Received: 09.12.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 88(130), Number 1(5), Pages 148–181
Bibliographic databases:
UDC: 519.47
MSC: Primary 08A05, 08A25; Secondary 06A25, 06A35
Language: English
Original paper language: Russian
Citation: L. A. Skornyakov, “Complements in the lattice of congruences”, Mat. Sb. (N.S.), 88(130):1(5) (1972), 148–181; Math. USSR-Sb., 17:1 (1972), 148–181
Citation in format AMSBIB
\Bibitem{Sko72}
\by L.~A.~Skornyakov
\paper Complements in the lattice of congruences
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 88(130)
\issue 1(5)
\pages 148--181
\mathnet{http://mi.mathnet.ru/sm3150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300957}
\zmath{https://zbmath.org/?q=an:0237.08004}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 1
\pages 148--181
\crossref{https://doi.org/10.1070/SM1972v017n01ABEH001495}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:244
    Russian version PDF:83
    English version PDF:9
    References:60
     
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