On the lattice of sub-pseudovarieties of DA
Group Theory
2010-08-31 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0904.2893,
title = {On the lattice of sub-pseudovarieties of DA},
author = {Manfred Kufleitner and Pascal Weil},
journal= {arXiv preprint arXiv:0904.2893},
year = {2010}
}