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| Articolul urmator |
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 865 7 |
| Ultima descărcare din IBN: 2023-06-30 14:04 |
| Căutarea după subiecte similare conform CZU |
| 512.54+512.548 (3) |
| Algebră (400) |
 SM ISO690:2012KRAINICHUK, Halyna, TARKOVSKA, Olena. Semi-symmetric isotopic closure of some group varieties and the corresponding identities. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 3-22. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.54+512.548 | ||||||
| MSC 2010: 34C05, 58F14. | ||||||
| Pag. 3-22 | ||||||
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Four families of pairwise equivalent identities are given and analyzed. Every identity from each of these families defines one of the following varieties: 1) the semi-symmetric isotopic closure of the variety of all Boolean groups; 2) the semisymmetric isotopic closure of the variety of all Abelian groups; 3) the semi-symmetric isotopic closure of the variety of all groups; 4) the variety of all semi-symmetric quasigroups. It is proved that these varieties are different and form a chain. Quasigroups belonging to these varieties are described. In particular, quasigroups from 1) and 2) varieties are medial and in addition, they are either groups or non-commutative semi-symmetric quasigroups. |
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| Cuvinte-cheie Group, quasigroup, identity, variety, isotopic closure, totally symmetric, semi-symmetric, commutative. |
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