| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 652 0 |
 SM ISO690:2012KRAPEZ, Aleksandar, SHCHERBACOV, Victor. Quasigroups, units and Belousov’s problem # 18. In: Armenian Journal of Mathematics, 2019, nr. 9(11), pp. 1-27. ISSN 1829-1163. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Armenian Journal of Mathematics |
||||||
| Numărul 9(11) / 2019 / ISSN 1829-1163 | ||||||
|
||||||
| Pag. 1-27 | ||||||
|
||||||
| Rezumat | ||||||
We investigate {left, right, middle} units of quasigroups and families of identities which might imply their existence. A prominent role is played by the newly introduced notion of derivative operation, generalizing Belousov’s notions of left/right derivative operations for quasigroups. Partial solutions of the Belousov’s Problem # 18 and its generalizations are obtained. Several related problems remain open. |
||||||
| Cuvinte-cheie Derivative operation, isotopy, loop, quasigroup, unit |
||||||
|
DataCite XML Export
<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<creators>
<creator>
<creatorName>Krapez, A.</creatorName>
<affiliation>Mathematical Institute of the Serbian Academy of Sciences and Arts, Serbia</affiliation>
</creator>
<creator>
<creatorName>Şcerbacov, V.A.</creatorName>
<affiliation>Institutul de Matematică şi Informatică "Vladimir Andrunachievici", Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Quasigroups, units and Belousov’s problem # 18</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2019</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1829-1163</relatedIdentifier>
<subjects>
<subject>Derivative operation</subject>
<subject>isotopy</subject>
<subject>loop</subject>
<subject>quasigroup</subject>
<subject>unit</subject>
</subjects>
<dates>
<date dateType='Issued'>2019-06-11</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>We investigate {left, right, middle} units of quasigroups and families of identities which might imply their existence. A prominent role is played by the newly introduced notion of derivative operation, generalizing Belousov’s notions of left/right derivative operations for quasigroups. Partial solutions of the Belousov’s Problem # 18 and its generalizations are obtained. Several related problems remain open.</p></description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>|
|
|
