Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Pöschel, Reinhard"'
Equivalence relations or, more general, quasiorders (i.e., reflexive and transitive binary relations) $\rho$ have the property that an $n$-ary operation $f$ preserves $\rho$, i.e., $f$ is a polymorphism of $\rho$, if and only if each translation (i.e
Externí odkaz:
http://arxiv.org/abs/2307.01868
We consider $S$-operations $f \colon A^{n} \to A$ in which each argument is assigned a signum $s \in S$ representing a "property" such as being order-preserving or order-reversing with respect to a fixed partial order on $A$. The set $S$ of such prop
Externí odkaz:
http://arxiv.org/abs/2306.00493
Autor:
Lehtonen, Erkko, Pöschel, Reinhard
Publikováno v:
Algebra Universalis 82 (2021) Art. 20
Classes of multisorted minions closed under extensions, reflections, and direct powers are considered from a relational point of view. As a generalization of a result of Barto, Opr\v{s}al, and Pinsker, the closure of a multisorted minion is character
Externí odkaz:
http://arxiv.org/abs/2001.02931
Akademický článek
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Autor:
Lehtonen, Erkko, Pöschel, Reinhard
Publikováno v:
Acta Sci. Math. (Szeged) 86 (2020) 31-50
Introduced by C. R. Shallon in 1979, graph algebras establish a useful connection between graph theory and universal algebra. This makes it possible to investigate graph varieties and graph quasivarieties, i.e., classes of graphs described by identit
Externí odkaz:
http://arxiv.org/abs/1905.11134
Akademický článek
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Publikováno v:
Algebra Universalis; Aug2024, Vol. 85 Issue 3, p1-29, 29p
The congruence lattices of all algebras defined on a fixed finite set $A$ ordered by inclusion form a finite atomistic lattice $\mathcal E$. We describe the atoms and coatoms. Each meet-irreducible element of $\mathcal E$ being determined by a single
Externí odkaz:
http://arxiv.org/abs/1612.07648
Autor:
Behrisch, Mike, Kerkhoff, Sebastian, Pöschel, Reinhard, Schneider, Friedrich Martin, Siegmund, Stefan
In this article we establish a bridge between dynamical systems, including topological and measurable dynamical systems as well as continuous skew product flows and nonautonomous dynamical systems; and coalgebras in categories having all finite produ
Autor:
Lehtonen, Erkko, Pöschel, Reinhard
Publikováno v:
Acta Sci. Math. (Szeged) 83 (2017) 355-375
There is a connection between permutation groups and permutation patterns: for any subgroup $G$ of the symmetric group $S_\ell$ and for any $n \geq \ell$, the set of $n$-permutations involving only members of $G$ as $\ell$-patterns is a subgroup of $
Externí odkaz:
http://arxiv.org/abs/1605.04516