Presentations for some monoids of partial transformations on a finite chain: a survey

VH Fernandes - Semigroups, algorithms, automata and languages, 2002 - World Scientific
We survey some known nice presentations of several monoids of partial transformations on
a finite chain: we consider the monoids of all order preserving partial transformations, of all …

On the semigroup of partial isometries of a finite chain

F Al-Kharousi, R Kehinde, A Umar - Communications in Algebra, 2016 - Taylor & Francis
Let ℐ n be the symmetric inverse semigroup on X n={1, 2,…, n}, and let 𝒟𝒫 n and 𝒪𝒟𝒫 n be
its subsemigroups of partial isometries and of order-preserving partial isometries of X n …

Congruences on monoids of transformations preserving the orientation on a finite chain

VH Fernandes, GMS Gomes, MM Jesus - Journal of Algebra, 2009 - Elsevier
The main subject of this paper is the description of the congruences on certain monoids of
transformations on a finite chain Xn with n elements. Namely, we consider the monoids ORn …

Presentations for monoids of partial endomorphisms of a star graph

I Dimitrova, VH Fernandes, J Koppitz - arXiv preprint arXiv:2410.21084, 2024 - arxiv.org
In this paper, we consider the monoids of all partial endomorphisms, of all partial weak
endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms …

The ranks of ideals in various transformation monoids

P Zhao, VH Fernandes - Communications in Algebra, 2015 - Taylor & Francis
In this paper we consider various classes of monoids of transformations of a finite chain,
including those of transformations that preserve or reverse either the order or the orientation …

Congruences on monoids of order-preserving or order-reversing transformations on a finite chain

VH Fernandes, GMS Gomes… - Glasgow Mathematical …, 2005 - cambridge.org
CONGRUENCES ON MONOIDS OF ORDER-PRESERVING OR ORDER-REVERSING
TRANSFORMATIONS ON A FINITE CHAIN Page 1 Glasgow Math. J. 47 (2005) 413–424. C 2005 …

A presentation for a submonoid of the symmetric inverse monoid

A Sareeto, J Koppitz - arXiv preprint arXiv:2310.15809, 2023 - arxiv.org
A fully invarient congruence relations on the free algebra on a given type induces a variety
of the given type. In contrast, a congruence relation of the free algebra provides algebra of …

On the monoid of partial isometries of a cycle graph

VH Fernandes, T Paulista - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
In this paper we consider the monoid $ DPC_n $ of all partial isometries of an $ n $-cycle
graph $ C_n $. We show that $ DPC_n $ is the submonoid of the monoid of all oriented …

On the monoid of partial isometries of a finite star graph

VH Fernandes, T Paulista - Communications in Algebra, 2023 - Taylor & Francis
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[PDF][PDF] The cardinal and the idempotent number of various monoids of transformations on a finite chain.

VH Fernandes, G Gomes, MM Jesus - Bulletin of the Malaysian …, 2011 - eudml.org
Abstract period.. In this note we consider various classes of monoids of transforma hyphen t
ions on a finite chain comma in particular of transformations that preserve or re hyphen …