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Algebra i logika, 2006, Volume 45, Number 4, Pages 436–446 (Mi al153)  
This article is cited in 6 scientific papers (total in 6 papers)

Lattices Embeddable in Subsemigroup Lattices. II. Cancellative Semigroups

M. V. Semenova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (170 kB) Citations (6)
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Abstract: Repnitskii proved that any lattice embeds in a subsemigroup lattice of some commutative, cancellative, idempotent free semigroup with unique roots. In that proof, use is made of a result by Bredikhin and Schein stating that any lattice embeds in a suborder lattice of suitable partial order. Here, we present a direct proof of Repnitskii's result which is independent of Bredikhin–Schein's, thus giving the answer to the question posed by Shevrin and Ovsyannikov.
Keywords: commutative semigroup, subsemilattice lattice.
Received: 05.10.2005
Revised: 02.02.2006
English version:
Algebra and Logic, 2006, Volume 45, Issue 4, Pages 248–253
DOI: https://doi.org/10.1007/s10469-006-0022-7
Bibliographic databases:
UDC: 512.56
Language: Russian
Citation: M. V. Semenova, “Lattices Embeddable in Subsemigroup Lattices. II. Cancellative Semigroups”, Algebra Logika, 45:4 (2006), 436–446; Algebra and Logic, 45:4 (2006), 248–253
Citation in format AMSBIB
\Bibitem{Sem06}
\by M.~V.~Semenova
\paper Lattices Embeddable in Subsemigroup Lattices. II. Cancellative Semigroups
\jour Algebra Logika
\yr 2006
\vol 45
\issue 4
\pages 436--446
\mathnet{http://mi.mathnet.ru/al153}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287649}
\zmath{https://zbmath.org/?q=an:1118.20054}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 4
\pages 248--253
\crossref{https://doi.org/10.1007/s10469-006-0022-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748935564}
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    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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