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Structural Theorems for Varieties of Bands

  • Libor Polák

Abstract

In [1] M. Petrich gave a construction of an arbitrary band in terms of a semilattice of rectangular bands and certain functions (see Section 1). He derived also structural theorems for bands in varieties which are placed on the bottom of the lattice of all varieties of bands ([1], Propositions II. 3. 5., 6., 8., 9., 10., 12., 13., 14.) adding some restrictions on α’s and β’s in his Theorem.

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References

  1. [1]
    Petrich, M., Lectures in Semigroups, Académie-Verlag-Berlin, 1977Google Scholar
  2. [2]
    Polák, L., On varieties of completely regular semigroups I, Semigroup Forum 32 (1985), 97–123MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    Polák, L., On varieties of completely regular semigroups II, Semigroup Forum 36 (1987), 253–284MathSciNetCrossRefGoogle Scholar
  4. [4]
    Polák, L., On varieties of completely regular semigroups III, Semigroup Forum 37 (1988), 1–30MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Libor Polák
    • 1
  1. 1.Department of MathematicsJ. E. Purkyně University BrnoBrnoCzechoslovakia

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