Results 61 to 70 of about 49,072 (124)

On some generalization of the bicyclic semigroup: the topological version [PDF]

Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna
We show that every Hausdorff Baire topology $\tau$ on $\mathcal{C}=\langle a,b\mid a^2b=a, ab^2=b\rangle$ such that $(\mathcal{C},\tau)$ is a semitopological semigroup is discrete and we construct a nondiscrete Hausdorff semigroup topology on $\mathcal{C}
M. Cencelj, Oleg Gutik, Duvsan D. Repovvs   +2 more
semanticscholar   +1 more source

Banach representations and affine compactifications of dynamical systems

, 2013
To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e.
Glasner, Eli, Megrelishvili, Michael
core   +1 more source

Vector‐valued means and weakly almost periodic functions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 227-237, 1994., 1992
A formula is set up between vector‐valued mean and scalar‐valued means that enables us translate many important results about scalar‐valued means developed in [1] to vector‐valued means. As applications of the theory of vector‐valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector‐valued weakly almost
Chuanyi Zhang
wiley   +1 more source

On distal and equicontinuous compact right topological groups

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
wiley   +1 more source

Compact semitopological inverse Clifford Semigroups

Semigroup Forum, 1972
An inverse Clifford Semigroup is a semilattice of groups. Conditions are given for constructing a compact semitopological (separately continuous multiplication) inverse Clifford semigroup on a compact Hausdorff semilattice. The conditions are necessary and sufficient for decomposing a compact inverse Clifford semigroup containing a dense subgroup and ...
openaire   +2 more sources

A note on quasi R*‐invariant measures on semigroups

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 727-730, 1990., 1990
A characterization of quasi r*‐invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*‐invariant measures and the topo‐algebraic structure of their support.
N. A. Tserpes
wiley   +1 more source

On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
doaj   +1 more source

Semigroup Closures of Finite Rank Symmetric Inverse Semigroups

, 2008
We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah, A.A. Beĭda, A.H. Clifford, A.H. Clifford, B.B. Baird, B.B. Baird, B.B. Baird, B.B. Baird, Dušan Repovš, H.P. Künzi, I.S. Yaroker, J.H. Carruth, J.H. Carruth, J.W. Stepp, J.W. Stepp, Jimmie Lawson, K. Kuratowski, K.D. Magill Jr., L.B. Šneperman, L.M. Gluskin, L.M. Gluskin, M. Petrich, O.V. Gutik, O.V. Gutik, Oleg Gutik, P.I. Booth, R. Engelking, R.J. Koch, S. Mendes-Gonçalves, S. Subbiah, S.D. Orlov, S.D. Orlov, V.V. Filippov, V.V. Wagner, W. Ruppert, Ľ. Holá   +35 more
core   +1 more source

On monoids of monotone injective partial self-maps of integers with cofinite domains and images

, 2012
We study the semigroup $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ is bisimple and all of its non-
Gutik, Oleg, Repovš, Dušan
core   +1 more source

On locally compact shift-continuous topologies on the α-bicyclic monoid

Topological Algebra and its Applications, 2018
A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
doaj   +1 more source