Short identities implying a quasigroup is a loop or group
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2024-01-21 17:49
SM ISO690:2012
FIALA, NickC.. Short identities implying a quasigroup is a loop or group . In: Quasigroups and Related Systems, 2007, vol. 15, nr. 2(18), pp. 263-271. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 15, Numărul 2(18) / 2007 / ISSN 1561-2848

Short identities implying a quasigroup is a loop or group

Pag. 263-271

Fiala NickC.
 
St. Cloud State University
 
 
Disponibil în IBN: 15 decembrie 2013


Rezumat

In this note, we nd all identities in product only with at most six variable occurrences that imply that a quasigroup satisfying the identity is a not necessarily trivial loop (group). These investigations were aided by the automated theorem-prover Prover9 and the model-nder Mace4.

Cuvinte-cheie
quasigroup, loop, Group,

automated reasoning