Results 11 to 20 of about 260 (56)
Let f : X → Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X ∪ Y is a topological semigroup, when the modified Whyburn topology is placed on X ∪ Y.
Beth Borel Reynolds, Victor Schneider
wiley +1 more source
A criterion of the existence of an embedding of a monothetic monoid into a topological group
Using properties of unitary Cauchy filters on monothetic monoids, we prove a criterion of the existence of an embedding of such a monoid into a topological group.
Averbukh Boris G.
doaj +1 more source
On feebly compact topologies on the semilattice $\exp_n\lambda$ [PDF]
We study feebly compact topologies $\tau$ on the semilattice $\left(\exp_n\lambda,\cap\right)$ such that $\left(\exp_n\lambda,\tau\right)$ is a semitopological semilattice. All compact semilattice $T_1$-topologies on $\exp_n\lambda$ are described.
Gutik, Oleg, Sobol, Oleksandra
core +1 more source
Constructions of positive commutative semigroups on the plane, II
A positive semiroup is a topological semigroup containing a subsemigroup N isomorphic to the multiplicative semigroup of nonnegative real numbers, embedded as a closed subset of E2 in such a way that 1 is an identity and 0 is a zero. Using results in Farley [1] it can be shown that positive commutative semigroups on the plane constructed by the ...
Reuben W. Farley
wiley +1 more source
An amenability property of algebras of functions on semidirect products of semigroups
Let S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product.
Bao-Ting Lerner
wiley +1 more source
On countably compact 0-simple topological inverse semigroups
We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free countably compact topological inverse ...
Gutik, Oleg, Repovš, Dušan
core +1 more source
IP$^{*}$-sets in function field and mixing properties
The ring of polynomial over a finite field $F_q[x]$ has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems.
De, Dibyendu, Debnath, Pintu
core +1 more source
Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
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 +35 more
core +1 more source
On the transformation semitopological semigroup
In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well ...
Abolghasemi, M. +2 more
core +1 more source
In this paper we search for conditions on a countably compact (pseudo-compact) topological semigroup under which: (i) each maximal subgroup $H(e)$ in $S$ is a (closed) topological subgroup in $S$; (ii) the Clifford part $H(S)$(i.e.
A. B. Paalman-de-Miranda +17 more
core +1 more source

