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On topological groups of automorphisms

open access: yesApplied General Topology
We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
doaj   +1 more source

On structure of isomorphisms of universal graphic automata [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
Automata theory is one of the branches of mathematical cybernetics, that studies information transducers that arise in many applied problems. The major objective of automata theory is to develop methods by which one can describe and analyze the dynamic ...
Molchanov, Vladimir Aleksandrovich   +1 more
doaj   +1 more source

An identity involving automorphisms of prime rings inspired by Posner's theorem

open access: yesJournal of Taibah University for Science, 2018
Let ${\mathcal R}$ be a prime ring with centre ${\mathcal Z}(\mathcal {R})$, $\mathcal {L}$ a non-zero Lie ideal of ${\mathcal R}$, and σ a non-trivial automorphism of ${\mathcal R}$ such that $[[\sigma (u),u], \sigma (u)] \in \mathcal {Z}(\mathcal {R})$
Mohammad Ashraf, Sajad Ahmad Pary
doaj   +1 more source

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