Structural Theorems for Varieties of Bands
In  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 (, 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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- Petrich, M., Lectures in Semigroups, Académie-Verlag-Berlin, 1977Google Scholar