Name
Abstract | ||
|---|---|---|
We consider the question of membership of A ∨ G, where A and G are the pseudovarieties of finite aperiodic semigroups, and finite groups, respectively. We find a straightforward criterion
for a semigroup S lying in a class of finite semigroups that are weakly abundant, to be in A ∨ G. The class of weakly abundant semigroups contains the class of regular semigroups, but is much more extensive; we remark
that any finite monoid with semilattice of idempotents is weakly abundant. To study such semigroups we develop a number of
techniques that may be of interest in their own right. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s10998-009-9009-1 | Periodica Mathematica Hungarica |
Keywords | Field | DocType |
weakly abundant,band,fundamental,weakly adequate,bountiful,A,∨,G,20M10 | Topology,Mathematical analysis,Monoid,Semilattice,Special classes of semigroups,Semigroup,Aperiodic graph,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 1 | 0031-5303 |
Citations | PageRank | References |
1 | 0.61 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John Fountain | 1 | 9 | 1.58 |
| Gracinda Gomes | 2 | 1 | 0.61 |
| Victoria Gould | 3 | 13 | 6.04 |