Results 21 to 30 of about 196 (184)
Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup
International Journal of Analysis and Applications, 2023 This field’s main feature is to implement the sum connectivity index method. This sum connectivity index method can solve the monogenic semigroups under the cartesian and strong products.
R. Rajadurai, G. Sheeja
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Topological Additively Representable Semigroups
Journal of Mathematical Analysis and Applications, 1997 A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos +2 more
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Categorically Closed Topological Groups
Axioms, 2017 Let C → be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms.
Taras Banakh
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On continuity of homomorphisms between topological Clifford semigroups
Karpatsʹkì Matematičnì Publìkacìï, 2014 Generalizing an old result of Bowman we prove that a homomorphism $f:X\to Y$ between topological Clifford semigroups is continuous if • the idempotent band $E_X=\{x\in X:xx=x\}$ of $X$ is a $V$-semilattice; • the topological Clifford semigroup
I. Pastukhova
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A Fibering Theorem for Topological Semigroups [PDF]
Proceedings of the American Mathematical Society, 1963 The theorem of this paper has appeared under stronger hypotheses and sometimes with weaker conclusions a number of times [1; 2; 3 ], and was known to Koch (in approximately the form of [2]) in 1959 (unpublished). Since it is a useful tool in the study of topological semigroups, and the proof here is simpler, and the theorem stronger than those ...
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Automatic continuity of homomorphisms between topological inverse semigroups
Topological Algebra and its Applications, 2018 We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
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From set-valued dynamical processes to fractals [PDF]
Opuscula MathematicaWe present a general theory of topological semiattractors and attractors for set-valued semigroups. Our results extend and unify those previously obtained by Lasota and Myjak.
Grzegorz Guzik, Grzegorz Kleszcz
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The α-bicyclic semigroup as a topological semigroup
Semigroup Forum, 1984 C. Eberhart and J. Selden showed that the only Hausdorff topology on the bicyclic semigroup which makes it a topological semigroup is the discrete topology. A related result proved in this paper is the following: Let \(W_{\alpha}\) be the \(\alpha\)-bisimple semigroup. The only locally compact Hausdorff semigroup topology on \(W_{\alpha}\) is discrete.
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Topological graph inverse semigroups
Topology and its Applications, 2016 25 pages.
Mesyan, Z. +3 more
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
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