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- W1998950830 abstract "A quasigroup satisfying the 2-variable identity x(yx) = y is called semisymmetric. It is observed that the transpose of a semisymmetric quasigroup is also semisymmetric. Consequently, the existence of a self-orthogonal semisymmetric quasigroup (SOSQ) gives rise to a pair of orthogonal semisymmetric quasigroups. In this paper, the spectrum of SOSQs is investigated and it is found that the spectrum contains all positive integers n = 1 (mod 3), except n = 10." @default.
- W1998950830 created "2016-06-24" @default.
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- W1998950830 date "1982-07-01" @default.
- W1998950830 modified "2023-09-26" @default.
- W1998950830 title "Self-orthogonal semisymmetric quasigroups" @default.
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- W1998950830 doi "https://doi.org/10.1016/0097-3165(82)90087-5" @default.
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