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
Petrich, M., Lectures in Semigroups, Académie-Verlag-Berlin, 1977
Polák, L., On varieties of completely regular semigroups I, Semigroup Forum 32 (1985), 97–123
Polák, L., On varieties of completely regular semigroups II, Semigroup Forum 36 (1987), 253–284
Polák, L., On varieties of completely regular semigroups III, Semigroup Forum 37 (1988), 1–30
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Polák, L. (1990). Structural Theorems for Varieties of Bands. In: Almeida, J., Bordalo, G., Dwinger, P. (eds) Lattices, Semigroups, and Universal Algebra. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2608-1_23
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DOI: https://doi.org/10.1007/978-1-4899-2608-1_23
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