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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 2, Pages 465–485
DOI: https://doi.org/10.1070/SM1990v065n02ABEH001150 (Mi sm1797) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity

V. B. Repnitskii, S. I. Katsman
English version PDF (1144 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM1990v065n02ABEH001150
Abstract: A description of commutative semigroups whose lattice of subsemigroups satisfies a nontrivial identity is obtained. In particular, an affirmative answer is given to a question of L. N. Shevrin on periodicity of an arbitrary semigroup whose lattice of subsemigroups satisfies a nontrivial identity. As a corollary of the technique developed herein a number of lattice-theoretic facts (known, as well as new) are also obtained.
Figures: 1.
Bibliography: 11 titles.
Received: 27.10.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 137(179), Number 4(12), Pages 462–482
Bibliographic databases:
UDC: 512.53
MSC: Primary 20M14; Secondary 03C05
Language: English
Original paper language: Russian
Citation: V. B. Repnitskii, S. I. Katsman, “Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity”, Mat. Sb. (N.S.), 137(179):4(12) (1988), 462–482; Math. USSR-Sb., 65:2 (1990), 465–485
Citation in format AMSBIB
\Bibitem{RepKat88}
\by V.~B.~Repnitskii, S.~I.~Katsman
\paper Commutative semigroups with lattice of subsemigroups satisfies a nontrivial identity
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 137(179)
\issue 4(12)
\pages 462--482
\mathnet{http://mi.mathnet.ru/sm1797}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=981521}
\zmath{https://zbmath.org/?q=an:0684.20050|0679.20057}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 2
\pages 465--485
\crossref{https://doi.org/10.1070/SM1990v065n02ABEH001150}
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  • https://www.mathnet.ru/eng/sm/v179/i4/p462
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:323
    Russian version PDF:116
    English version PDF:9
    References:31
     
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