On the extension of continuous homomorphisms of topological n-ary semigroups
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512.536.7+515.14 (1)
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DUDEK, Wieslaw, MUKHIN, Vladimir. On the extension of continuous homomorphisms of topological n-ary semigroups. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 211-216. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848

On the extension of continuous homomorphisms of topological n-ary semigroups

CZU: 512.536.7+515.14
MSC 2010: 20N15, 22A15, 22A30

Pag. 211-216

Dudek Wieslaw1, Mukhin Vladimir2
 
1 Wroclaw University of Technology,
2 Vologda Institute of Law and Economics of the Federal Penal Service of Russia, Vologda
 
 
Disponibil în IBN: 18 februarie 2019


Rezumat

We prove that each continuous homomorphism from a topological n-ary semigroup X into a topological binary semigroup Y can be extended to a continuous homomorphism from the free covering semigroup of X into a semigroup Y .

Cuvinte-cheie
Covering (enveloping) semigroup, universal covering semigroup, free covering semigroup, n-ary semigroup, topological n-ary semigroup.