Results 11 to 20 of about 687 (157)
On semigroups of functions on topological spaces
Journal of Mathematical Analysis and Applications, 1969 Troy L. Hicks, A.G Haddock
openalex +3 more sources
Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj +1 more source
APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]
Journal of Algebraic Systems, 2014 Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
doaj +1 more source
Closed subsets of compact-like topological spaces
Applied General Topology, 2020 We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj +1 more source
Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
doaj +1 more source
On topological McAlister semigroups
Journal of Pure and Applied Algebra, 2023 In this paper we consider McAlister semigroups over arbitrary cardinals and investigate their algebraic and topological properties. We show that the group of automorphisms of a McAlister semigroup $\mathcal{M}_ $ is isomorphic to the direct product $Sym( ){\times}\mathbb{Z}_2$, where $Sym( )$ is the group of permutations of the cardinal $ $.
openaire +2 more sources
𝜅-topologies for right topological semigroups [PDF]
Proceedings of the American Mathematical Society, 1992 Given a cardinal κ \kappa and a right topological semigroup S S with topology τ \tau , we consider the new topology obtained by declaring any intersection of at most κ \kappa members of τ \tau to be open.
John Pym, John Baker, Neil Hindman
openaire +2 more sources
Semigroups and their topologies arising from Green's left quasiorder
Applied General Topology, 2008 Given a semigroup (S, ·), Green’s left quasiorder on S is given by a ≤ b if a = u · b for some u ϵ S1. We determine which topological spaces with five or fewer elements arise as the specialization topology from Green’s left quasiorder for an appropriate ...
Bettina Richmond
doaj +1 more source
Series with Commuting Terms in Topologized Semigroups [PDF]
Axioms, 2021 We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Castejón Lafuente, Alberto Elias +2 more
openaire +4 more sources
Extending binary operations to funtor-spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a continuous monadic functor $T:\mathbf{Comp}\to\mathbf{Comp}$ in the category of compacta and a discrete topological semigroup $X$ we extend the semigroup operation $\varphi:X\times X\to X$ to a right-topological semigroup operation $\Phi:T\beta X\
T. O. Banakh, V. M. Gavrylkiv
doaj +1 more source