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On semitopological simple inverse $\omega$-semigroups with compact maximal subgroups
Carpathian Mathematical PublicationsWe describe the structure of ($0$-)simple inverse Hausdorff semitopological $\omega$-semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Hausdorff semitopological $\omega$-semigroup with compact maximal ...
O. Gutik, K. Maksymyk
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The ideal structure on the topological tensor product of topological semigroups
Let \(S\), \(T\) be topological semigroups with identities, and \(\sigma\colon S\to T\) be a continuous homomorphism. The authors introduce the notion of topological tensor product of \(S\), \(T\) and \(\sigma\), denoted by \(S\otimes_\sigma T\) which is a topological semigroup satisfying a certain universality property.Medghalchi, A. R., Rahimi, H. R.
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Cancer epigenetics in clinical practice
Ca-A Cancer Journal for Clinicians, 2023Veronica Davalos, Manel Esteller
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Highly accurate protein structure prediction with AlphaFold
Nature, 2021Demis Hassabis +2 more
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The structure of topological regular semigroups
This paper discusses regular topological semigroups \(S\). For \(x\in S\), let \(I(x)=\{y\in S: y\in Sx\text{ and } x\in Sy\}\); this is a closed set if \(S\) is compact. Say that \(S\) has the small property at \(x\) if, for each open \(U\supseteq I(x)\) there is an open subsemigroup \(V\) with \(I(x)\subseteq V\subseteq U\).openaire +1 more source
On the structure of \(n\)-fans of minimal topological transformation semigroups
This is a summary of some results of the author concerning the structure theory of finite families of extensions of minimal topological transformation semigroups with fixed base analogous to the structure theory of extensions of minimal topological transformation groups which was developed by Furstenberg, Ellis, Bronstein, Veech, Glasner, Shapiro, van ...openaire +1 more source
Applications of Transformation Groups to Problems in Topological Semigroups
, 1968K. Hofmann, P. Mostert
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On topological Brandt semigroups
Journal of Mathematical Sciences, 2012O. Gutik, K. Pavlyk, A. Reiter
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