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In this paper we aim to prove that every semigroup of the pseudovariety generated by all semigroups of partial, injective and order preserving transformations on a finite chain belongs to the… (More)

In this paper we compute the abelian kernels of the monoids POIn and POPIn of all injective order preserving and respectively, orientation preserving, partial transformations on a chain with n… (More)

Let be the semigroup of all partial transformations on X, and be the subsemigroups of of all full transformations on X and of all injective partial transformations on X, respectively. Given a… (More)

We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the… (More)

- Manuel Delgado, Vítor H. Fernandes
- IJAC
- 2005

The notion of Abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. In this line, an extension of the notion of solvable group to monoids is quite natural: they… (More)

In this paper we do not make a clear distinction between what is introduction and preliminaries. In fact, we have decided to put it all in a single section which is divided into 3 subsections. The… (More)

NO of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain… (More)

In this paper we calculate presentations for some natural monoids of transformations on a chain Xn = 1 < 2 < · · · < n . First we consider n [ n], the monoid of all full [partial] transformations on… (More)

In this paper we introduce the notion of normally ordered block-group as a natural extension of the notion of normally ordered inverse semigroup considered previously by the author. We prove that the… (More)