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pro vyhledávání: '"KOPPITZ, JÖRG"'
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
Autor:
Sareeto, Apatsara, Koppitz, Jörg
In the present paper, a submonoid of the well studied monoid $POI_n$ of all order-preserving partial injections on an $n$-element chain is studied. The set $IOF_n^{par}$ of all partial transformations in $POI_n$ which are fence-preserving as well as
Externí odkaz:
http://arxiv.org/abs/2403.06957
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:
Sareeto, Apatsara, Koppitz, Jörg
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 that type. This algebra is given by a so-called presentation. I
Externí odkaz:
http://arxiv.org/abs/2310.15809
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
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
Autor:
Sareeto, Apatsara, Koppitz, Jörg
The monoid of all partial injections on a finite set (the symmetric inverse semigroup) is of particular interest because of the well-known Wagner-Preston Theorem. In this article, we step forward the study of a submonoid of the symmetric inverse semi
Externí odkaz:
http://arxiv.org/abs/2208.03202
Autor:
Dimitrova, Ilinka, Koppitz, Jörg
For $n \in \mathbb{N}$, let $[n] = \{1, 2, \ldots, n\}$ be an $n$ - element set. As usual, we denote by $I_n$ the symmetric inverse semigroup on $[n]$, i.e. the partial one-to-one transformation semigroup on $[n]$ under composition of mappings. The c
Externí odkaz:
http://arxiv.org/abs/2204.13961
Autor:
ZHUCHOK, Anatolii V.1 zhuchok.av@gmail.com, KOPPITZ, Jörg2
Publikováno v:
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 6, p1067-1078. 11p.
