Translatable isotopes of translatable quasigroups
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2023-06-05 19:19
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DUDEK, Wieslaw, MONZO, Robert. Translatable isotopes of translatable quasigroups. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 193-208. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.17
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Quasigroups and Related Systems
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848

Translatable isotopes of translatable quasigroups

DOI:https://doi.org/10.56415/qrs.v30.17
CZU: 512.548

Pag. 193-208

Dudek Wieslaw, Monzo Robert
 
Wroclaw University of Science and Technology
 
 
Disponibil în IBN: 7 aprilie 2023


Rezumat

We determine the structure of translatable isotopes of translatable quasigroups. Necessary and sufficient conditions are found for a bijection between two such isotopes to be an isomorphism. It is also proved that in a left cancellative, k-translatable magma, the value of k is unique.