9 citations · 61 across the 34 of their papers we have counts for
43 papers
Finitely presented inverse semigroups with finitely many idempotents in each -class and non-Hausdorff universal groupoids
Pedro V. Silva, Benjamin Steinberg
The complex algebra of an inverse semigroup with finitely many idempotents in each -class is stably finite by a result of Munn. This can be proved fairly easily using $…
On the rational subsets of the monogenic free inverse monoid
Pedro V. Silva
We prove that the equality problem is decidable for rational subsets of the monogenic free inverse monoid . It is also decidable whether or not a rational subset of is recog…
A tribute to Mario Petrich
Pedro V. Silva, Mária B. Szendrei
This paper was written as a tribute to Mario Petrich, a major figure in the history of semigroup theory. Publication is posthumous in view of his recent death.
Holonomy theorem for finite semigroups
John Rhodes, Anne Schilling, Pedro V. Silva
We provide a simple proof of the Holonomy Theorem using a new Lyndon-Chiswell length function on the Karnofsky-Rhodes expansion of a semigroup. Unexpectedly, we have both a left an…
Algorithmic properties of inverse monoids with hyperbolic and tree-like Schützenberger graphs
Robert D. Gray, Pedro V. Silva, Nóra Szakács
We prove that the class of finitely presented inverse monoids whose Schützenberger graphs are quasi-isometric to trees has a uniformly solvable word problem, furthermore, the langu…
Eraser morphisms and membership problem in groups and monoids
Daniele D'Angeli, Emanuele Rodaro, Pedro V. Silva +1
We develop the theory of fragile words by introducing the concept of eraser morphism and extending the concept to more general contexts such as (free) inverse monoids. We character…