7 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
The rank of variants of nilpotent pseudovarieties
J. Almeida, M. H. Shahzamanian
We investigate the rank of pseudovarieties defined by several of the variants of nilpotency conditions for semigroups in the sense of Mal'cev. For several of them, we provide finit…
The pro-nilpotent group topology on a free group
J. Almeida, M. H. Shahzamanian, B. Steinberg
In this paper, we work on the pro-nilpotent group topology of a free group. First we investigate the closure of the product of finitely many subgroups of a free group in the pro-ni…
Representations of relatively free profinite semigroups, irreducibility, and order primitivity
J. Almeida, O. Klíma
We establish that, under certain closure assumptions on a pseudovariety of semigroups, the corresponding relatively free profinite semigroups freely generated by a non-singleton fi…
Reducibility of pointlike problems
J. Almeida, J. C. Costa, M. Zeitoun
We show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all finite semigroups…