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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 43–51 (Mi fpm1172)  
This article is cited in 8 scientific papers (total in 8 papers)

Upper-modular elements of the lattice of semigroup varieties. II

B. M. Vernikov

Ural State University
Full-text PDF (124 kB) Citations (8)
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Abstract: A semigroup variety is called a variety of degree $\le2$ if all its nilsemigroups are semigroups with zero multiplication, and a variety of degree $>2$ otherwise. We completely determine all semigroup varieties of degree $>2$ that are upper-modular elements of the lattice of all semigroup varieties and find quite a strong necessary condition for semigroup varieties of degree $\le2$ to have the same property.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 164, Issue 2, Pages 182–187
DOI: https://doi.org/10.1007/s10958-009-9718-2
Bibliographic databases:
UDC: 512.532
Language: Russian
Citation: B. M. Vernikov, “Upper-modular elements of the lattice of semigroup varieties. II”, Fundam. Prikl. Mat., 14:7 (2008), 43–51; J. Math. Sci., 164:2 (2010), 182–187
Citation in format AMSBIB
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\by B.~M.~Vernikov
\paper Upper-modular elements of the lattice of semigroup varieties.~II
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 7
\pages 43--51
\mathnet{http://mi.mathnet.ru/fpm1172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2533596}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 164
\issue 2
\pages 182--187
\crossref{https://doi.org/10.1007/s10958-009-9718-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71649103279}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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