9 citations · 61 across the 34 of their papers we have counts for
5 papers · 1 filter
On finitely generated submonoids of virtually free groups
Pedro V. Silva, Alexander Zakharov
We prove that it is decidable whether or not a finitely generated submonoid of a virtually free group is graded, introduce a new geometric characterization as quasi-geodesic monoid…
Local finiteness for Green's relations in semigroup varieties
Mikhail V. Volkov, Pedro V. Silva, Filipa Soares
A semigroup variety V is said to be locally K-finite, where K stands for any of Green's relations H, R, L, D, or J, if every finitely generated semigroup from V has only finitely m…
On the Dowling and Rhodes lattices and wreath products
Stuart W. Margolis, John Rhodes, Pedro V. Silva
Dowling and Rhodes defined different lattices on the set of triples (Subset, Partition, Cross Section) over a fixed finite group G. Although the Rhodes lattice is not a geometric l…
On the semigroup rank of a group
Mário J. J. Branco, Gracinda M. S. Gomes, Pedro V. Silva
For an arbitrary group , it is shown that either the semigroup rank equals the group rank , or . This is the starting point f…
On the subsemigroup complex of an aperiodic Brandt semigroup
Stuart Margolis, John Rhodes, Pedro V. Silva
We introduce the subsemigroup complex of a finite semigroup S as a (boolean representable) simplicial complex defined through chains in the lattice of subsemigroups of S. We presen…