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Mat. Zametki, 1968, Volume 3, Issue 6, Pages 663–670 (Mi mz6727)  

This article is cited in 10 scientific papers (total in 10 papers)

Examples of varieties of semigroups

V. L. Murskii

Applied Mathematics Institute, Academy of Sciences of the USSR

Abstract: An example of a variety $\mathfrak M$ of semigroups is formulated, where $\mathfrak M$ is defined by a finite number of identity relations for which the set of all identities (here strictly in two variables $x$$y$) that hold on all semigroups of $\mathfrak M$ is nonrecursive. It is shown how to formulate similar varieties of semigroups with 1.

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English version:
Mathematical Notes, 1968, 3:6, 423–427

Bibliographic databases:

UDC: 51.01.16
Received: 19.01.1968

Citation: V. L. Murskii, “Examples of varieties of semigroups”, Mat. Zametki, 3:6 (1968), 663–670; Math. Notes, 3:6 (1968), 423–427

Citation in format AMSBIB
\Bibitem{Mur68}
\by V.~L.~Murskii
\paper Examples of varieties of semigroups
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 6
\pages 663--670
\mathnet{http://mi.mathnet.ru/mz6727}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=231930}
\zmath{https://zbmath.org/?q=an:0203.30002|0181.01401}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 6
\pages 423--427
\crossref{https://doi.org/10.1007/BF01110600}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. I. Merzlyakov, “The group theory problems of the Kourovka Notebook – progress from the sixth to the seventh symposium”, Russian Math. Surveys, 37:2 (1982), 165–191  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. V. D. Mazurov, “Solved problems in the Kourovka Notebook”, Russian Math. Surveys, 46:5 (1991), 137–182  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. V. Yu. Popov, “On the decidability of equational theories of varieties of rings”, Math. Notes, 63:6 (1998), 770–776  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. V. Yu. Popov, “On equational theories of varieties of anticommutative rings”, Math. Notes, 65:2 (1999), 188–201  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. Popov, VY, “Decidability of equational theories of coverings of semigroup varieties”, Siberian Mathematical Journal, 42:6 (2001), 1132  mathnet  crossref  isi
    6. V. Yu. Popov, “O nezavisimo baziruemykh mnogoobraziyakh monoidov”, Fundament. i prikl. matem., 8:3 (2002), 829–876  mathnet  mathscinet  zmath
    7. Popov, VY, “On the finite base property for semigroup varieties”, Siberian Mathematical Journal, 43:5 (2002), 910  mathnet  crossref  isi
    8. V. Yu. Popov, “On Independently Partitionable Sets of Semigroup Identities”, Siberian Adv. Math., 14:2 (2004), 27–78  mathnet  mathscinet  elib
    9. V. Yu. Popov, “On equational theories of classes of nonassociative rings”, Russian Math. (Iz. VUZ), 47:7 (2003), 75–79  mathnet  mathscinet  zmath  elib
    10. S. I. Kublanovsky, “On the rank of Rees–Sushkevich varieties”, St. Petersburg Math. J., 23:4 (2012), 679–730  mathnet  crossref  mathscinet  zmath  isi  elib  elib
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