Zobrazeno 1 - 10
of 455
pro vyhledávání: '"Fernandes, Vitor A."'
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 and of all partial strong weak endomorphisms of a star graph with a fi
Externí odkaz:
http://arxiv.org/abs/2410.21084
In this paper, we consider event structures and their probabilistic and quantum extensions as originally defined by Winskel. If these structures have already been part of sophisticated computational models, they have rarely been directly studied as a
Externí odkaz:
http://arxiv.org/abs/2408.14563
Autor:
Fernandes, Vítor H.
In this note we give a presentation for the monoid $IO_n$ of all order-preserving transformations of a $n$-chain whose ranges are intervals. We also consider the submonoid $IO_n^-$ of $IO_n$ consisting of order-decreasing transformations, for which w
Externí odkaz:
http://arxiv.org/abs/2407.05084
Autor:
Fernandes, Vítor H.
Publikováno v:
Commun. Korean Math. Soc. 38.3 (2023): 725-731
Following the new description of an oriented full transformation on a finite chain given recently by Higgins and Vernitski in "Orientation-preserving and orientation-reversing mappings: a new description", Semigroup Forum 104 (2022), 509--514, in thi
Externí odkaz:
http://arxiv.org/abs/2403.12234
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 and of all partial strong weak endomorphisms of a star graph with a fin
Externí odkaz:
http://arxiv.org/abs/2401.11741
Autor:
Li, De Biao, Fernandes, Vítor H.
Let $\Omega_n$ be a finite chain with $n$ elements $(n\in\mathbb{N})$, and let $\mathcal{POPI}_{n}$ be the semigroup of all injective orientation-preserving partial transformations of $\Omega_n$. In this paper, for any nonempty subset $Y$ of $\Omega_
Externí odkaz:
http://arxiv.org/abs/2401.02185
In this paper we consider endomorphisms of an undirected cycle graph from Semigroup Theory perspective. Our main aim is to present a process to determine sets of generators with minimal cardinality for the monoids $wEnd(C_n)$ and $End(C_n)$ of all we
Externí odkaz:
http://arxiv.org/abs/2310.04149
Autor:
Fernandes, Vítor H.
In this paper, we consider the monoid $DPW_n$ of all partial isometries of a wheel graph $W_n$ with $n+1$ vertices. Our main objective is to determine the rank of $DPW_n$. In the process, we also compute the ranks of three notable subsemigroups of $D
Externí odkaz:
http://arxiv.org/abs/2307.16257
In this paper we consider the submonoids $\mathcal{OPDI}_n$, $\mathcal{MDI}_n$ and $\mathcal{ODI}_n$ of the dihedral inverse monoid $\mathcal{DI}_n$ of all orientation-preserving, monotone and order-preserving transformations, respectively. Our goal
Externí odkaz:
http://arxiv.org/abs/2301.02474
In this paper we consider three submonoids of the dihedral inverse monoid $\mathcal{DI}_n$, namely its submonoids $\mathcal{OPDI}_n$, $\mathcal{MDI}_n$ and $\mathcal{ODI}_n$ of all orientation-preserving, monotone and order-preserving transformations
Externí odkaz:
http://arxiv.org/abs/2301.01519