Semigroup Forum

, Volume 29, Issue 1, pp 277–318 | Cite as

On subdtrectly irreducible lattice-ordered semigroups

  • V. B. Repnitzkii
Research Article

Keywords

Lattice Congruence Subdirect Product Finite Algebra Nilpotent Semigroup Subdirectly Irreducible Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Львов, И. В.,О многообразиях ассоциативных колец, 1, Алгебра и логика, 12, 3 (1973), 269–297.Google Scholar
  2. 2.
    Львов, И. В.,О многообразиях ассоциативных колец, П, Алгебра и логика, 12, 6 (1973), 667–688.Google Scholar
  3. 3.
    Нейман, Х.,Многообразия групп, М., 1969.Google Scholar
  4. 4.
    Ольшанский, А. Ю.,Разрешимые почти кроссовы многообразия, групп, Матєм. сб., 85, 1 (1971), 115–131.Google Scholar
  5. 5.
    Репницкий, В. Б.О кроссовых и почти кроссовых многообразиях коммутативных dld-полугрупп, Алгебраические системы и их многообразия, Свердловск, 1982, 102–116.Google Scholar
  6. 6.
    Fuchs, L.,Partially Ordered Algebraic Systems, Pergamon Press, New York, N.Y., 1963.Google Scholar
  7. 7.
    Aizenstat, A.Ya.,On varieties of semigroups having a finite number of subvarieties, Colloquia mathematica societatis Janos Bolyai, 20 (1979), 33–41.MathSciNetGoogle Scholar
  8. 8.
    Baker, K.,Finite equational bases for finite algebras in congruence distributive equational classes, Advances in Mathematics, 24 (1977), 207–243.MATHMathSciNetGoogle Scholar
  9. 9.
    Birkhoff, G.,Lattice theory. Amer. Math. Soc., 1967.Google Scholar
  10. 10.
    Freese, R.,Varieties generated by modular lattices of width four, Bulletin of the Amer. Math. Soc., 78, 3 (1972), 447–450.MATHMathSciNetCrossRefGoogle Scholar
  11. 11.
    Grätzer, G.,Equational classes of lattices, Duke Math. J., 33 (1966), 613–622.MATHCrossRefMathSciNetGoogle Scholar
  12. 12.
    Hong, D.,Covering relations among lattice varieties, Pacific J. Math., 40, 3 (1972), 575–603.MATHMathSciNetGoogle Scholar
  13. 13.
    Jónsson, B.,Algebras whose congruences lattices are distributive, math. Scond., 21 (1967), 110–121.MATHGoogle Scholar
  14. 14.
    Jónsson, B.,Equational classes of lattices, Math. Scond., 22 (1968), 187–196.MATHGoogle Scholar
  15. 15.
    Jónsson, B., I. Rival,Lattice varieties covering the smallest non-modular variety, Pacific J. Math., 82, 2 (1979), 463–478.MATHMathSciNetGoogle Scholar
  16. 16.
    Kruse, R.,Identities satisfied by a finite ring, J. Algebra, 26, 2 (1973), 298–318.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1984

Authors and Affiliations

  • V. B. Repnitzkii
    • 1
  1. 1.Ural State UniversityLeninaUSSR

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