Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/10893
DC Field | Value | Language |
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dc.contributor.author | Stojaković Z. | en |
dc.contributor.author | Tasić B. | en |
dc.date.accessioned | 2020-03-03T14:41:46Z | - |
dc.date.available | 2020-03-03T14:41:46Z | - |
dc.date.issued | 2000-01-01 | en |
dc.identifier.issn | 03153681 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/10893 | - |
dc.description.abstract | A generalization of Schröder quasigroups (quasigroups satisfying the identity xy · yx = x) to the n-ary case is considered. An n-ary quasigroup (Q, A) satisfying the identity A(A(x 1 , . . . , x n ), A(x 2 , . . . , x n , x 1 ) , . . . , A(x n , x 1 , . . . , x n-1 )) = x 1 is called an n-ary Schröder quasigroup (nSQ). Some properties of ternary SQs (TSQs) and nSQs are determined. Every nSQ of order v is self-orthogonal and also it defines an orthogonal set of n (n - 1)-ary quasigroups of order v. The existence of TSQs is examined and it is proved that there are no TSQs of order 2,3,6, but there exist TSQs of order v = 4 α k, where α is a nonnegative integer and k is an odd integer not divisible by 3. Every TSQ of order n defines an n 3 × 6 orthogonal array (OA). Conjugations leaving invariant an OA associated with an TSQ are also investigated. | en |
dc.relation.ispartof | Utilitas Mathematica | en |
dc.title | A generalization of Schröder quasigroups | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.scopus | 2-s2.0-0034311020 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/0034311020 | en |
dc.relation.lastpage | 235 | en |
dc.relation.firstpage | 225 | en |
dc.relation.volume | 58 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | Naučne i umetničke publikacije |
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