Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
932 10 |
Ultima descărcare din IBN: 2023-12-27 18:26 |
SM ISO690:2012 KEEDWELL, Anthony Donald, SHCHERBACOV, Victor. Quasigroups with an inverse property and generalized parastrophic identities
. In: Quasigroups and Related Systems, 2005, vol. 13, nr. 1(13), pp. 109-120. ISSN 1561-2848. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Quasigroups and Related Systems | ||||||
Volumul 13, Numărul 1(13) / 2005 / ISSN 1561-2848 | ||||||
|
||||||
Pag. 109-120 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
We study quasigroups (and loops) which have an inverse property. We show that each
such quasigroup satises a generalized parastrophic identity and that, when investigating
properties related to the nuclei, quasigroups which possess any type of inverse property
can all be treated in the same way. By means of our approach using autostrophies, we
obtain results concerning isomorphisms between or equality of these nuclei. Also, we
nd conditions for a groupoid which satises a generalized parastrophic identity to be a
quasigroup. Some of these results generalize our results on (r, s, t)-inverse quasigroups.
|
||||||
|