Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Peresse, Y."'
In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid $\mathbb{N} ^ \mathbb{N}$ or the symmetric inverse monoid $I_{\mathbb{N}}$ with their respective canonical Polish semigrou
Externí odkaz:
http://arxiv.org/abs/2302.08988
In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid $\operatorname{End}(\mathbb{A})$ of a countable relational structure $\mathbb{A}$. As applications, we show that the en
Externí odkaz:
http://arxiv.org/abs/2203.11577
Publikováno v:
In Advances in Mathematics 15 October 2023 431
Publikováno v:
Trans. Amer. Math. Soc., Vol. 376, (2023) 8023-8093
In this paper we explore the extent to which the algebraic structure of a monoid $M$ determines the topologies on $M$ that are compatible with its multiplication. Specifically we study the notions of automatic continuity; minimal Hausdorff or Polish
Externí odkaz:
http://arxiv.org/abs/1912.07029
We investigate semigroup topologies on the full transformation monoid T(X) of an infinite set X. We show that the standard pointwise topology is the weakest Hausdorff semigroup topology on T(X), show that the pointwise topology is the unique Hausdorf
Externí odkaz:
http://arxiv.org/abs/1809.04590
Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that of certain associated subgroups. Examples of semigroups to which thes
Externí odkaz:
http://arxiv.org/abs/1510.01868
In this paper, we consider the group Aut$(\mathbb{Q}, \leq)$ of order-automorphisms of the rational numbers, proving a result analogous to a theorem of Galvin's for the symmetric group. In an announcement, Kh\'elif states that every countable subset
Externí odkaz:
http://arxiv.org/abs/1401.7823
We prove that, up to isomorphism and anti-isomorphism, there are only two semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only nine semigroups which are the union of three copies of the free monogeni
Externí odkaz:
http://arxiv.org/abs/1312.5518
Publikováno v:
Topol. Appl., Volume 208, (2016) 106-126
To every directed graph $E$ one can associate a \emph{graph inverse semigroup} $G(E)$, where elements roughly correspond to possible paths in $E$. These semigroups generalize polycylic monoids, and they arise in the study of Leavitt path algebras, Co
Externí odkaz:
http://arxiv.org/abs/1306.5388
Publikováno v:
Math. Logic Quart., Volume 58, (2012) 424-433
Let $\nat^\nat$ be the semigroup of all mappings on the natural numbers $\nat$, and let $U$ and $V$ be subsets of $\nat^\nat$. We write $U\preccurlyeq V$ if there exists a countable subset $C$ of $\nat^\nat$ such that $U$ is contained in the subsemig
Externí odkaz:
http://arxiv.org/abs/1109.2706