On semigroups of endomorphisms of a chain with restricted range

VH Fernandes, P Honyam, TM Quinteiro, B Singha - Semigroup Forum, 2014 - Springer
Let X be a finite or infinite chain and let O(X) be the monoid of all endomorphisms of X. In
this paper, we describe the largest regular subsemigroup of O(X) and Green's relations on …

On certain semigroups of full contraction maps of a finite chain

GU Garba, MJ Ibrahim, AT Imam - Turkish Journal of …, 2017 - journals.tubitak.gov.tr
Abstract Let $ X_ {n}=\{1, 2,\ldots, n\} $ with its natural order and let ${\cal T} _ {n} $ be the full
transformation semigroup on $ X_ {n} $. A map $\alpha\in {\cal T} _ {n} $ is said to be order …

The rank of the semigroup of all order-preserving transformations on a finite fence

VH Fernandes, J Koppitz, T Musunthia - Bulletin of the Malaysian …, 2019 - Springer
A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider
the semigroup TF _ n TF n of all order-preserving transformations on an n-element zig-zag …

On the ranks of certain monoids of transformations that preserve a uniform partition

VH Fernandes, TM Quinteiro - Communications in Algebra, 2014 - Taylor & Francis
The rank of a semigroup, an important and relevant concept in Semigroup Theory, is the
cardinality of a least-size generating set. Semigroups of transformations that preserve or …

Endomorphisms of semigroups of oriented transformations

DB Li, VH Fernandes - Semigroup Forum, 2023 - Springer
We characterize the monoid of endomorphisms of the semigroup of all oriented full
transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup …

Endomorphisms of semigroups of order-preserving partial transformations

VH Fernandes, PG Santos - Semigroup Forum, 2019 - Springer
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to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search …

Endotypes of partial equivalence relations

Y Zhuchok, O Toichkina - Semigroup Forum, 2021 - Springer
Endotypes of partial equivalence relations | SpringerLink Skip to main content
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Endomorphisms of semigroups of monotone transformations

DB Li, VH Fernandes - Journal of Algebra and Its Applications, 2024 - World Scientific
In this paper, we characterize the monoid of endomorphisms of the semigroup of all
monotone full transformations of a finite chain, as well as the monoids of endomorphisms of …

On the monoids of transformations that preserve the order and a uniform partition

VH Fernandes, TM Quinteiro - Communications in Algebra, 2011 - Taylor & Francis
In this article we consider the monoid 𝒪 m× n of all order-preserving full transformations on a
chain with mn elements that preserve a uniform m-partition and its submonoids and of all …

Bilateral semidirect product decompositions of transformation monoids

VH Fernandes, TM Quinteiro - Semigroup Forum, 2011 - Springer
In this paper we consider the monoid OR_n of all full transformations on a chain with n
elements that preserve or reverse the orientation, as well as its submonoids OD_n of all …