Quasigroups constructed from perfect Mendelsohn designs with block size 4

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420095" target="_blank" >RIV/00216208:11320/20:10420095 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dUNQlLrSov" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=dUNQlLrSov</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/jcd.21708" target="_blank" >10.1002/jcd.21708</a>

Result language
angličtina
Original language name
Quasigroups constructed from perfect Mendelsohn designs with block size 4
Original language description
Several varieties of quasigroups obtained from perfect Mendelsohn designs with block size 4 are defined.One of these is obtained from the so-called directed standard construction and satisfies the law xy*(y*xy)=x and another satisfies Stein's third law xy*yx=y. Such quasigroups which satisfy the flexible law x*yx=xy*x are investigated and characterized. Quasigroups which satisfy both of the laws xy * (y *xy) = x and xy * yx = y are shown to exist.Enumeration results for perfect Mendelsohn design PMD(9, 4) and PMD(12, 4) as well as for (nonperfect) Mendelsohn designs MD(8, 4) are given.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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