Covering semigroups of topological n-ary semigroups
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515.122.4 (2)
Topology (43)
SM ISO690:2012
DUDEK, Wieslaw, MUKHIN, Vladimir. Covering semigroups of topological n-ary semigroups. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 1(37), pp. 51-58. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 25, Numărul 1(37) / 2017 / ISSN 1561-2848

Covering semigroups of topological n-ary semigroups
CZU: 515.122.4
MSC 2010: 20N15, 22A15, 22A30

Pag. 51-58

Dudek Wieslaw1, Mukhin Vladimir2
 
1 Institute of Mathematics and Computer Science, Wroclaw University of Technology,
2 Vologda Institute of Law and Economics of the Federal Penal Service of Russia, Vologda
 
 
Disponibil în IBN: 15 august 2017


Rezumat

We construct a topology on the covering (enveloping) semigroup of an n-ary topological semigroup, and study the properties of the constructed topology. Conditions under which this covering semigroup is a topological semigroup are obtained too.

Cuvinte-cheie
topological n-ary semigroup, topological semigroup, free covering semigroup.

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<dc:creator>Dudek, W.A.</dc:creator>
<dc:creator>Mukhin, V.V.</dc:creator>
<dc:date>2017-06-28</dc:date>
<dc:description xml:lang='en'>We construct a topology on the covering (enveloping) semigroup of an n-ary topological semigroup, and study the properties of the constructed topology. Conditions under which this covering semigroup is a topological semigroup are obtained too. </dc:description>
<dc:source>Quasigroups and Related Systems 37 (1) 51-58</dc:source>
<dc:subject>topological n-ary semigroup</dc:subject>
<dc:subject>topological semigroup</dc:subject>
<dc:subject>free covering semigroup.</dc:subject>
<dc:title>Covering semigroups of topological n-ary semigroups</dc:title>
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