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Algebra i logika, 2004, Volume 43, Number 6, Pages 635–649 (Mi al98)  
This article is cited in 2 scientific papers (total in 2 papers)

Semigroup Varieties on Whose Free Objects Almost All Fully Invariant Congruences are Weakly Permutable

B. M. Vernikov

Ural State University
Full-text PDF (191 kB) Citations (2)
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Abstract: A semigroup variety is said to be of index $\leqslant2$ if all nil-semigroups of the variety are semigroups with zero multiplication. We describe all semigroup varieties $\mathcal V$ of index $\leqslant2$ on free objects of which every two fully invariant congruences contained in the least semilattice congruence are weakly permutable, and semigroup varieties of index $\leqslant2$ all of whose subvarieties share the above-mentioned property.
Keywords: semigroup variety, nil-semigroup, weakly permutable congruence, fully invariant congruence.
Received: 18.11.2003
English version:
Algebra and Logic, 2004, Volume 43, Issue 6, Pages 357–364
DOI: https://doi.org/10.1023/B:ALLO.0000048825.91020.76
Bibliographic databases:
UDC: 512.532.2
Language: Russian
Citation: B. M. Vernikov, “Semigroup Varieties on Whose Free Objects Almost All Fully Invariant Congruences are Weakly Permutable”, Algebra Logika, 43:6 (2004), 635–649; Algebra and Logic, 43:6 (2004), 357–364
Citation in format AMSBIB
\Bibitem{Ver04}
\by B.~M.~Vernikov
\paper Semigroup Varieties on Whose Free Objects Almost All Fully Invariant Congruences are Weakly Permutable
\jour Algebra Logika
\yr 2004
\vol 43
\issue 6
\pages 635--649
\mathnet{http://mi.mathnet.ru/al98}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2135385}
\zmath{https://zbmath.org/?q=an:1079.20076}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 6
\pages 357--364
\crossref{https://doi.org/10.1023/B:ALLO.0000048825.91020.76}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249083938}
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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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    		Алгебра и логика Algebra and Logic
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    References:63
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