On the lattice of sub-pseudovarieties of DA

Details On the lattice of sub-pseudovarieties of DA On the lattice of sub-pseudovarieties of DA

2009-04-19

arxiv.org/abs/0904.2893v2

Semigroup Forum 81 (2010) 243-254

Mathematics

Group Theory

Scientific paper

The wealth of information that is available on the lattice of varieties of bands, is used to illuminate the structure of the lattice of sub-pseudovarieties of DA, a natural generalization of bands which plays an important role in language theory and in logic. The main result describes a hierarchy of decidable sub-pseudovarieties of DA in terms of iterated Mal'cev products with the pseudovarieties of definite and reverse definite semigroups.

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