| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Krapež, Aleksandar | en |
| dc.contributor.author | Petrić, Zoran | en |
| dc.date.accessioned | 2020-04-12T18:10:31Z | - |
| dc.date.available | 2020-04-12T18:10:31Z | - |
| dc.date.issued | 2017-01-01 | en |
| dc.identifier.issn | 1561-2848 | en |
| dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/321 | - |
| dc.description.abstract | J.D.H. Smith showed how to replace homotopies between quasigroups by homo-morphism between semisymmetric quasigroups. This is a semisymmetrization and it replaces a quasigroup by a semisymmetric structure defined on its Cartesian cube. The reason for a semisymmetrization is that homomorphisms behave more regularly than homotopies. A thorough survey of properties of Smith's semisymmetrization is given in this paper. Also, new semisymmetrizations, which replace a quasigroup by semisymmetric structures defined on its Cartesian square are suggested. | en |
| dc.publisher | Institute of Mathematics, Academy of Sciences Moldova | - |
| dc.relation | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security | - |
| dc.relation | Representations of logical structures and formal languages and their application in computing | - |
| dc.relation.ispartof | Quasigroups and Related Systems | en |
| dc.subject | Adjunction | Category | Embedding | Functor | Homotopy | Monadic adjunction | Quasigroup | Semisymmetrization | Variety | en |
| dc.title | A note on semisymmetry | en |
| dc.type | Article | en |
| dc.identifier.scopus | 2-s2.0-85037825103 | en |
| dc.relation.firstpage | 269 | en |
| dc.relation.lastpage | 278 | en |
| dc.relation.issue | 2 | en |
| dc.relation.volume | 25 | en |
| item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
| item.openairetype | Article | - |
| item.cerifentitytype | Publications | - |
| item.fulltext | No Fulltext | - |
| item.grantfulltext | none | - |
| crisitem.project.projectURL | http://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php | - |
| crisitem.project.projectURL | http://www.mi.sanu.ac.rs/novi_sajt/research/projects/174026e.php | - |
| crisitem.project.fundingProgram | Directorate for Education & Human Resources | - |
| crisitem.project.fundingProgram | Directorate for Social, Behavioral & Economic Sciences | - |
| crisitem.project.openAire | info:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089 | - |
| crisitem.project.openAire | info:eu-repo/grantAgreement/NSF/Directorate for Social, Behavioral & Economic Sciences/1740267 | - |
| crisitem.author.orcid | 0000-0002-9533-1739 | - |
| crisitem.author.orcid | 0000-0003-2049-9892 | - |
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